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Equations and dot-depth one

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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/10.1007/3-540-07407-4_23openalex-snapshot
Piecewise testable events
inferredcites →https://doi.org/10.1007/3-540-16761-7_91openalex-snapshot
Semigroups and languages of dot-depth 2
inferredcites →https://doi.org/10.1016/0022-0000(78)90049-1openalex-snapshot
The dot-depth hierarchy of star-free languages is infinite
inferredcites →https://doi.org/10.1016/0022-0000(82)90016-2openalex-snapshot
Classifying regular events in symbolic logic
inferredcites →https://doi.org/10.1016/0022-4049(85)90062-3openalex-snapshot
Finite semigroup varieties of the form V ∗ D
inferredcites →https://doi.org/10.1016/0166-218x(92)90161-3openalex-snapshot
Games, equations and dot-depth two monoids
inferredcites →https://doi.org/10.1016/0304-3975(88)90034-5openalex-snapshot
Semigroups and languages of dot-depth two
inferredcites →https://doi.org/10.1016/0898-1221(89)90179-xopenalex-snapshot
Games, equations and the dot-depth hierarchy
inferredcites →https://doi.org/10.1016/s0012-365x(73)80005-6openalex-snapshot
Characterizations of locally testable events
inferredcites →https://doi.org/10.1016/s0019-9958(65)90108-7openalex-snapshot
On finite monoids having only trivial subgroups
inferredcites →https://doi.org/10.1016/s0022-0000(71)80003-xopenalex-snapshot
Dot-depth of star-free events
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6055-6openalex-snapshot
Automata, Languages, and Machines
inferredcites →https://doi.org/10.1051/ita/1983170403211openalex-snapshot
A semigroup characterization of dot-depth one languages
inferredcites →https://doi.org/10.1051/ita/1983170403311openalex-snapshot
Some theorems on graph congruences
inferredcites →https://doi.org/10.1051/ita/1990240605211openalex-snapshot
On dot-depth two
inferredcites →https://doi.org/10.1112/blms/12.3.230bopenalex-snapshot
SEMIGROUPS AND COMBINATORIAL APPLICATIONS
inferredcites →https://doi.org/10.24033/msmf.309openalex-snapshot
An application of the Ehrenfeucht-Fraisse game in formal language theory

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jcss.1995.1071openalex-snapshot
Some Logical Characterizations of the Dot-Depth Hierarchy and Applications
inferred← citeshttps://doi.org/10.1007/3-540-60084-1_87openalex-snapshot
Polynomial closure and unambiguous product
inferred← citeshttps://doi.org/10.1007/978-3-642-59136-5_10openalex-snapshot
Syntactic Semigroups
inferred← citeshttps://doi.org/10.1007/bf02573472openalex-snapshot
Equations on the semidirect product of a finite semilattice by a finite commutative monoid
inferred← citeshttps://doi.org/10.1007/bf02679467openalex-snapshot
Polynomial closure and unambiguous product
inferred← citeshttps://doi.org/10.1007/pl00005913openalex-snapshot
Equations on Semidirect Products of Commutative Semigroups
inferred← citeshttps://doi.org/10.1007/pl00005969openalex-snapshot
On a Product of Finite Monoids
inferred← citeshttps://doi.org/10.1007/s00012-021-00738-1openalex-snapshot
Equational theories of upper triangular tropical matrix semigroups
inferred← citeshttps://doi.org/10.1007/s00233-015-9708-2openalex-snapshot
Non-finitely based monoids
inferred← citeshttps://doi.org/10.1007/s00233-015-9709-1openalex-snapshot
Finitely based monoids
inferred← citeshttps://doi.org/10.1007/s00233-019-09996-xopenalex-snapshot
Identities in unitriangular and gossip monoids
inferred← citeshttps://doi.org/10.1007/s00233-022-10305-2openalex-snapshot
Identities of the stylic monoid
inferred← citeshttps://doi.org/10.1007/s00233-022-10328-9openalex-snapshot
Tropical representations and identities of the stylic monoid
inferred← citeshttps://doi.org/10.1016/0166-218x(95)00047-uopenalex-snapshot
Inclusion relations between some congruences related to the dot-depth hierarchy
inferred← citeshttps://doi.org/10.1016/0304-3975(92)00064-xopenalex-snapshot
Equations and monoid varieties of dot-depth one and two
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2022.04.033openalex-snapshot
Representations and identities of plactic-like monoids
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2023.06.014openalex-snapshot
Catalan monoids inherently nonfinitely based relative to finite R -trivial semigroups
inferred← citeshttps://doi.org/10.1051/ita/1995290301571openalex-snapshot
Equations on the semidirect product of a finite semilattice by a $\mathcal {J}$-trivial monoid of height $k$
inferred← citeshttps://doi.org/10.1051/ita/1996300504571openalex-snapshot
On semidirect and two-sided semidirect products of finite $\mathcal {J}$trivial monoids
inferred← citeshttps://doi.org/10.1142/s0218196704002018openalex-snapshot
REFLEXIVE RELATIONS, EXTENSIVE TRANSFORMATIONS AND PIECEWISE TESTABLE LANGUAGES OF A GIVEN HEIGHT
inferred← citeshttps://doi.org/10.1515/dema-2015-0035openalex-snapshot
The Finite Basis Problem for Kiselman Monoids
inferred← citeshttps://doi.org/10.48550/arxiv.1402.5409openalex-snapshot
Non-finitely based monoids
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