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A four-element algebra whose identities are not finitely based

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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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/bf00968027openalex-snapshot
Identities of finite algebras
inferredcites →https://doi.org/10.1007/bf02218695openalex-snapshot
Varieties of associative rings. I
inferredcites →https://doi.org/10.1007/bf02483845openalex-snapshot
Finite groupoids without finite bases for their identities
inferredcites →https://doi.org/10.1007/bf02485404openalex-snapshot
Para primal varieties: A study of finite axiomatizability and definable principal congruences in locally finite varieties
inferredcites →https://doi.org/10.1016/0001-8708(77)90056-1openalex-snapshot
Finite equational bases for finite algebras in a congruence-distributive equational class
inferredcites →https://doi.org/10.1016/0021-8693(64)90004-3openalex-snapshot
Identical relations in finite groups
inferredcites →https://doi.org/10.1016/0021-8693(69)90058-1openalex-snapshot
Bases for equational theories of semigroups
inferredcites →https://doi.org/10.1016/0021-8693(73)90025-2openalex-snapshot
Identities satisfied by a finite ring
inferredcites →https://doi.org/10.1017/s1446788700011897openalex-snapshot
Varieties that make one Cross
inferredcites →https://doi.org/10.1090/s0002-9939-1954-0060482-6openalex-snapshot
Identities in Finite Algebras
inferredcites →https://doi.org/10.1090/s0002-9947-1951-0044470-3openalex-snapshot
Identities in Two-Valued Calculi
inferredcites →https://doi.org/10.7146/math.scand.a-10984openalex-snapshot
Equational Bases for Lattice Theories.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/bf01182458openalex-snapshot
Lyndon's groupoid isnot inherently nonfinitely based
inferred← citeshttps://doi.org/10.1007/bf01182459openalex-snapshot
The unique minimal clone with three essentially binary operations
inferred← citeshttps://doi.org/10.1007/bf01195139openalex-snapshot
Nonfinitely based three-element idempotent groupoids
inferred← citeshttps://doi.org/10.1007/bf01230623openalex-snapshot
On the minimal extension of sequences
inferred← citeshttps://doi.org/10.1007/bf01236757openalex-snapshot
Affine spaces overGF(4)
inferred← citeshttps://doi.org/10.1007/bf02483845openalex-snapshot
Finite groupoids without finite bases for their identities
inferred← citeshttps://doi.org/10.1007/bfb0063439openalex-snapshot
Inherently nonfinitely based finite algebras
inferred← citeshttps://doi.org/10.1007/bfb0098464openalex-snapshot
How to construct finite algebras which are not finitely based
inferred← citeshttps://doi.org/10.1007/s000120050029openalex-snapshot
On the minimal extension of the sequence $ \langle 0,1,1,7 \rangle $
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2023.05.014openalex-snapshot
Algebras from finite group actions and a question of Eilenberg and Schützenberger
inferred← citeshttps://doi.org/10.1023/a:1004363119941openalex-snapshot
The Minimal Extension of Sequences II. On Problem 17 of Grätzer and Kisielewicz
inferred← citeshttps://doi.org/10.1023/a:1022471729444openalex-snapshot
Small idempotent clones I
inferred← citeshttps://doi.org/10.1142/s0218196702001085openalex-snapshot
COMPUTATIONAL COMPLEXITY OF THE FINITE ALGEBRA MEMBERSHIP PROBLEM FOR VARIETIES
inferred← citeshttps://doi.org/10.21136/cmj.1989.102278openalex-snapshot
Shift-automorphism methods for inherently nonfinitely based varieties of algebras
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