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Geometrical applications in modular lattices

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4757-1454-8openalex-snapshot

Quadratic Forms in Infinite Dimensional Vector Spaces

inferredcites →https://doi.org/10.1007/978-1-4899-3542-7openalex-snapshot

Quadratic Forms in Infinite Dimensional Vector Spaces

inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_20openalex-snapshot

The Imbedding Problem for Modular Lattices

inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_39openalex-snapshot

The Structure of Relatively Complemented Lattices

inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_42openalex-snapshot

Generators of lattice varieties

inferredcites →https://doi.org/10.1007/978-3-0348-7633-9_5openalex-snapshot

Equational Classes of Lattices

inferredcites →https://doi.org/10.1007/978-3-642-86524-4openalex-snapshot

Einführung in die Verbandstheorie

inferredcites →https://doi.org/10.1007/978-3-642-94727-8openalex-snapshot

Kontinuierliche Geometrien

inferredcites →https://doi.org/10.1007/978-3-662-00110-3openalex-snapshot

Projektive Ebenen

inferredcites →https://doi.org/10.1007/978-3-662-34480-4openalex-snapshot

Structure of a Group and the Structure of its Lattice of Subgroups

inferredcites →https://doi.org/10.1007/978-3-7091-6110-4_31openalex-snapshot

New Foundations of Projective and Affine Geometry

inferredcites →https://doi.org/10.1007/bf01109816openalex-snapshot

Coordinatization ofH-planes byH-modules

inferredcites →https://doi.org/10.1007/bf01110216openalex-snapshot

Hjelmslev-Ebenen mit verfeinerten Nachbarschaftsrelationen

inferredcites →https://doi.org/10.1007/bf01110915openalex-snapshot

Uniforme Hjelmslev-Ebenen und modulare Verb�nde

inferredcites →https://doi.org/10.1007/bf01114466openalex-snapshot

Primitive L�nge und primitive Weite bei modularen Verb�nden

inferredcites →https://doi.org/10.1007/bf01187385openalex-snapshot

Projektive und affine Ebenen mit Nachbarelementen

inferredcites →https://doi.org/10.1007/bf01198529openalex-snapshot

On elementary Arguesian lattices with four generators

inferredcites →https://doi.org/10.1007/bf01214134openalex-snapshot

Zum Begriff der Charakteristik modularer Verb�nde

inferredcites →https://doi.org/10.1007/bf01214848openalex-snapshot

Zerlegung vonS-Verb�nden

inferredcites →https://doi.org/10.1007/bf01220920openalex-snapshot

Hjelmslev-Ebenen in projektiven R�umen

inferredcites →https://doi.org/10.1007/bf01222753openalex-snapshot

On a condition sufficient for the distributivity of lattices of linear subspaces

inferredcites →https://doi.org/10.1007/bf01229766openalex-snapshot

Zum Wortproblem f�r freie Untermodulverb�nde

inferredcites →https://doi.org/10.1007/bf01246623openalex-snapshot

S-verklebte Summen von Verb�nden

inferredcites →https://doi.org/10.1007/bf01298413openalex-snapshot

Unzerlegbare Darstellungen I

inferredcites →https://doi.org/10.1007/bf01364135openalex-snapshot

Perfect elements in the free modular lattices

inferredcites →https://doi.org/10.1007/bf01448979openalex-snapshot

Ueber die von drei Moduln erzeugte Dualgruppe

inferredcites →https://doi.org/10.1007/bf01844161openalex-snapshot

Non-injective collineations on some sets in Desarguesian projective planes and extension of non-commutative valuations

inferredcites →https://doi.org/10.1007/bf01899469openalex-snapshot

Ein Struktursatz fÜr ebene Verbände

inferredcites →https://doi.org/10.1007/bf01900626openalex-snapshot

Bemerkungen zu einem verbandstheoretischen Problem von Skornjakov

inferredcites →https://doi.org/10.1007/bf02018273openalex-snapshot

On finitely generated simple modular lattices

inferredcites →https://doi.org/10.1007/bf02482916openalex-snapshot

Congruence varieties

inferredcites →https://doi.org/10.1007/bf02483938openalex-snapshot

Rahmen und erzeugende quadrupel in modularen verbänden

inferredcites →https://doi.org/10.1007/bf02485232openalex-snapshot

On G. Grätzer's problem concerning automorphisms of a finitely presented lattice

inferredcites →https://doi.org/10.1007/bf02485249openalex-snapshot

Splitting algebras and a weak notion of projectivity

inferredcites →https://doi.org/10.1007/bf02485258openalex-snapshot

On modular lattices generated by 1+2+2

inferredcites →https://doi.org/10.1007/bf02485279openalex-snapshot

Concerning M. M. gluhov's paper on the word problem for free modular lattices

inferredcites →https://doi.org/10.1007/bf02485400openalex-snapshot

A test for identities satisfied in lattices of submodules

inferredcites →https://doi.org/10.1007/bf02485415openalex-snapshot

Universal Horn axiom systems for lattices of submodules

inferredcites →https://doi.org/10.1007/bf02485417openalex-snapshot

Embedding and unsolvability theorems for modular lattices

inferredcites →https://doi.org/10.1007/bf02485739openalex-snapshot

The class of sublattices of normal subgroup lattices is not elementary

inferredcites →https://doi.org/10.1007/bf02485816openalex-snapshot

Planar sublattices ofFM(4)

inferredcites →https://doi.org/10.1007/bf02485834openalex-snapshot

Generators of lattice varieties

inferredcites →https://doi.org/10.1007/bf02485845openalex-snapshot

Finite distributive lattices projective in the class of all modular lattices

inferredcites →https://doi.org/10.1007/bf02945042openalex-snapshot

On modular lattices with four generators

inferredcites →https://doi.org/10.1007/bf02945054openalex-snapshot

The class of arguesian lattices is self-dual

inferredcites →https://doi.org/10.1007/bf02945112openalex-snapshot

On free modular lattices generated by finite chains

inferredcites →https://doi.org/10.1007/bf02960742openalex-snapshot

Desarguessche Ebenen mit Nachbarelementen

inferredcites →https://doi.org/10.1016/0021-8693(71)90103-7openalex-snapshot

Modular lattices and abelian categories

inferredcites →https://doi.org/10.1016/0021-8693(73)90001-xopenalex-snapshot

Recursively unsolvable word problems of modular lattices and diagram-chasing

inferredcites →https://doi.org/10.1016/b978-0-08-009610-0.50013-9openalex-snapshot

COMPLEMENTED MODULAR LATTICES

inferredcites →https://doi.org/10.1016/b978-0-7204-0725-9.50016-2openalex-snapshot

SOME VARIETIES OF MODULAR LATTICES NOT GENERATED BY THEIR FINITE DIMENSIONAL MEMBERS**This research was supported in part by NSF Grant Nos. GP-27772 and MPS 73-08589 A02.

inferredcites →https://doi.org/10.1016/b978-0-7204-0725-9.50019-8openalex-snapshot

n-DISTRIBUTIVITY AND SOME QUESTIONS OF THE EQUATIONAL THEORY OF LATTICES

inferredcites →https://doi.org/10.1016/s0049-237x(09)70028-xopenalex-snapshot

Lattice-Theoretic Approach to Projective and Affine Geometry

inferredcites →https://doi.org/10.1016/s1385-7258(58)50020-1openalex-snapshot

On the construction of coordinates for non-desarguesian complemented modular lattices. I

inferredcites →https://doi.org/10.1016/s1385-7258(59)50009-8openalex-snapshot

Coordinatization of complemented modular lattices

inferredcites →https://doi.org/10.1070/im1967v001n06abeh000619openalex-snapshot

REPRESENTATION OF A TETRAD

inferredcites →https://doi.org/10.1070/rm1974v029n06abeh001301openalex-snapshot

FREE MODULAR LATTICES AND THEIR REPRESENTATIONS

inferredcites →https://doi.org/10.1070/rm1976v031n05abeh004188openalex-snapshot

LATTICES, REPRESENTATIONS, AND ALGEBRAS CONNECTED WITH THEM. I

inferredcites →https://doi.org/10.1070/rm1977v032n01abeh001595openalex-snapshot

LATTICES, REPRESENTATIONS, AND ALGEBRAS CONNECTED WITH THEM. II

inferredcites →https://doi.org/10.1073/pnas.23.1.16openalex-snapshot

Algebraic Theory of Continuous Geometries

inferredcites →https://doi.org/10.1073/pnas.47.9.1495openalex-snapshot

A SIMPLIFIED PROOF OF VON NEUMANN'S COORDINATIZATION THEOREM

inferredcites →https://doi.org/10.1090/pspum/002/0126394openalex-snapshot

Complemented modular lattices

inferredcites →https://doi.org/10.1090/pspum/002/0141715openalex-snapshot

On the lattice of normal subgroups of a group

inferredcites →https://doi.org/10.1090/s0002-9904-1940-07133-2openalex-snapshot

Note on complemented modular lattices

inferredcites →https://doi.org/10.1090/s0002-9904-1958-10247-5openalex-snapshot

Book Review: Kontinuierliche Geometrien

inferredcites →https://doi.org/10.1090/s0002-9904-1971-12618-6openalex-snapshot

Equational axioms for classes of lattices

inferredcites →https://doi.org/10.1090/s0002-9904-1972-12939-2openalex-snapshot

Varieties generated by modular lattices of width four

inferredcites →https://doi.org/10.1090/s0002-9939-1966-0195769-8openalex-snapshot

The free modular lattice, ${\rm FM}(2+2+2)$, is infinite

inferredcites →https://doi.org/10.1090/s0002-9939-1974-0329988-9openalex-snapshot

On Modular Lattices of Order Dimension Two

inferredcites →https://doi.org/10.1090/s0002-9947-1942-0007252-9openalex-snapshot

A Unified Theory of Projective Spaces and Finite Abelian Groups

inferredcites →https://doi.org/10.1090/s0002-9947-1943-0008892-4openalex-snapshot

Projective Planes

inferredcites →https://doi.org/10.1090/s0002-9947-1946-0018635-9openalex-snapshot

Complemented Modular Lattices and Projective Spaces of Infinite Dimension

inferredcites →https://doi.org/10.1090/s0002-9947-1951-0044137-1openalex-snapshot

On the foundations of inversion geometry

inferredcites →https://doi.org/10.1090/s0002-9947-1959-0108459-5openalex-snapshot

Representation of Modular Lattices and Of Relation Algebras

inferredcites →https://doi.org/10.1090/s0002-9947-1960-0120175-0openalex-snapshot

Representations of Complemented Modular Lattices

inferredcites →https://doi.org/10.1090/s0002-9947-1974-0364040-2openalex-snapshot

The Undecidability of the Word Problems for Projective Geometries and Modular Lattices

inferredcites →https://doi.org/10.1090/s0002-9947-1975-0376462-5openalex-snapshot

On the representation of lattices by modules

inferredcites →https://doi.org/10.1090/s0002-9947-1979-0531987-8openalex-snapshot

Projective Geometries as Projective Modular Lattices

inferredcites →https://doi.org/10.1090/s0002-9947-1979-0542881-0openalex-snapshot

The Variety of Modular Lattices is Not Generated by its Finite Members

inferredcites →https://doi.org/10.1090/s0002-9947-1980-0576864-xopenalex-snapshot

Free Modular Lattices

inferredcites →https://doi.org/10.1090/s0002-9947-1983-0701508-6openalex-snapshot

The Coordinatization of Arguesian Lattices

inferredcites →https://doi.org/10.1090/s0002-9947-1984-0743743-8openalex-snapshot

On the Arithmetic of Projective Coordinate Systems

inferredcites →https://doi.org/10.1112/jlms/s1-22.3.219openalex-snapshot

A Theorem on Abelian Groups

inferredcites →https://doi.org/10.1215/ijm/1256053966openalex-snapshot

On coordinates in modular lattices with a homogeneous basis

inferredcites →https://doi.org/10.1215/s0012-7094-37-00311-9openalex-snapshot

Structures and group theory. I

inferredcites →https://doi.org/10.1215/s0012-7094-38-00419-3openalex-snapshot

Structures and group theory. II

inferredcites →https://doi.org/10.1215/s0012-7094-66-03371-0openalex-snapshot

Equational classes of lattices

inferredcites →https://doi.org/10.14492/hokmj/1530864103openalex-snapshot

ON PRIMARY LATTICES

inferredcites →https://doi.org/10.1515/9781400883950openalex-snapshot

Continuous Geometry

inferredcites →https://doi.org/10.2140/pjm.1969.28.9openalex-snapshot

Equational classes of modular lattices

inferredcites →https://doi.org/10.2140/pjm.1969.30.175openalex-snapshot

Desargues’ law and the representation of primary lattices

inferredcites →https://doi.org/10.2140/pjm.1969.30.95openalex-snapshot

Representations of primary Arguesian lattices

inferredcites →https://doi.org/10.2140/pjm.1972.40.575openalex-snapshot

Covering relations among lattice varieties

inferredcites →https://doi.org/10.2140/pjm.1972.43.15openalex-snapshot

Geometric aspects of primary lattices

inferredcites →https://doi.org/10.2140/pjm.1973.45.507openalex-snapshot

The amalgamation property in equational classes of modular lattices

inferredcites →https://doi.org/10.2307/1968458openalex-snapshot

New Foundations of Projective and Affine Geometry

inferredcites →https://doi.org/10.2307/1968656openalex-snapshot

Combinatorial Relations in Projective Geometries

inferredcites →https://doi.org/10.2307/1968717openalex-snapshot

Lattices and Topological Spaces

inferredcites →https://doi.org/10.2307/1969187openalex-snapshot

The Imbedding Problem for Modular Lattices

inferredcites →https://doi.org/10.2307/1969328openalex-snapshot

The Structure of Relatively Complemented Lattices

inferredcites →https://doi.org/10.2307/2372469openalex-snapshot

Finite Fano Planes

inferredcites →https://doi.org/10.2307/2372509openalex-snapshot

Note on Free Modular Lattices

inferredcites →https://doi.org/10.2748/tmj/1178244623openalex-snapshot

On free modular lattices, II

inferredcites →https://doi.org/10.2969/jmsj/00920263openalex-snapshot

On the representation of complemented modular lattices.

inferredcites →https://doi.org/10.4099/jjm1924.21.0_53openalex-snapshot

On Free Modular Lattices

inferredcites →https://doi.org/10.4153/cjm-1955-047-4openalex-snapshot

On The Coordinatization Theorem Of J. Von Neumann

inferredcites →https://doi.org/10.4153/cjm-1959-047-6openalex-snapshot

Complemented Modular Lattices

inferredcites →https://doi.org/10.4153/cjm-1969-008-5openalex-snapshot

Hjelmslev Planes Derived from Modular Lattices

inferredcites →https://doi.org/10.4153/cjm-1969-029-2openalex-snapshot

Variety Invariants for Modular Lattices

inferredcites →https://doi.org/10.4153/cmb-1962-012-9openalex-snapshot

Some Examples of Complemented Modular Lattices

inferredcites →https://doi.org/10.4153/cmb-1981-030-0openalex-snapshot

In Search of a Pappian Lattice Identity

inferredcites →https://doi.org/10.4153/cmb-1981-038-9openalex-snapshot

A Finitely Generated Modular Ortholattice

inferredcites →https://doi.org/10.4153/cmb-1983-046-1openalex-snapshot

A Lemma on Projective Geometries as Modular and/or Arguesian Lattices

inferredcites →https://doi.org/10.7146/math.scand.a-10377openalex-snapshot

On the representation of lattices

inferredcites →https://doi.org/10.7146/math.scand.a-10416openalex-snapshot

Modular lattices and Desargues' theorem

inferredcites →https://doi.org/10.7146/math.scand.a-10567openalex-snapshot

Arguesian Lattices of Dimension $n\leqq 4$.

inferredcites →https://doi.org/10.7146/math.scand.a-10850openalex-snapshot

Algebras Whose Congruence Lattices are Distributive.

inferredcites →https://doi.org/10.7146/math.scand.a-10882openalex-snapshot

Equational Classes of Lattices.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-1-4899-3558-8_24openalex-snapshot

The Role of Gluing Constructions in Modular Lattice Theory

inferred← citeshttps://doi.org/10.1007/978-94-009-5460-1_11openalex-snapshot

Coordinatization of Lattices

inferred← citeshttps://doi.org/10.1007/978-94-015-1288-6_1openalex-snapshot

inferred← citeshttps://doi.org/10.1007/bf00571181openalex-snapshot

Obituary: A. Alan Day

inferred← citeshttps://doi.org/10.1007/bf01182460openalex-snapshot

Projective geometries as cover-preserving sublattices

inferred← citeshttps://doi.org/10.1007/bf01188053openalex-snapshot

Two notes on the Arguesian identity

inferred← citeshttps://doi.org/10.1007/bf01188386openalex-snapshot

Arguesian lattices whose skeleton is a chain

inferred← citeshttps://doi.org/10.1007/bf01188994openalex-snapshot

Direct decompositions of orthomodular lattices

inferred← citeshttps://doi.org/10.1007/bf01190416openalex-snapshot

Arguesian lattices which are not type-1

inferred← citeshttps://doi.org/10.1007/bf01200489openalex-snapshot

Alan Day's work on modular and Arguesian lattices

inferred← citeshttps://doi.org/10.1007/bf02104863openalex-snapshot

Stable modular lattices of small height

inferred← citeshttps://doi.org/10.1007/bf02362832openalex-snapshot

General geometric lattices and projective geometry of modules

inferred← citeshttps://doi.org/10.1007/bfb0098460openalex-snapshot

Linear lattice proof theory: An overview

inferred← citeshttps://doi.org/10.1016/0001-8708(85)90118-5openalex-snapshot

Proof theory for linear lattices

inferred← citeshttps://doi.org/10.1016/0021-8693(87)90152-9openalex-snapshot

Frames and rings in congruence modular varieties

inferred← citeshttps://doi.org/10.1090/s0273-0979-1987-15483-8openalex-snapshot

Arguesian lattices which are not linear

inferred← citeshttps://doi.org/10.4153/cjm-1989-044-8openalex-snapshot

On the Word Problem for Orthocomplemented Modular Lattices

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