On residual finiteness of monoids, their Schützenberger groups and associated actions.

DOI10.1016/j.jalgebra.2014.02.025zbMath1333.20056arXiv1003.3176OpenAlexW2035024177MaRDI QIDQ402658

Nikola Ruškuc, Robert D. Gray

Publication date: 28 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3176

zbMATH Keywords

Green relationsSchützenberger groupsmonoid actionsresidually finite monoids

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Residual properties and generalizations; residually finite groups (20E26) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

ON SEPARABILITY FINITENESS CONDITIONS IN SEMIGROUPS, Separability conditions in acts over monoids, On disjoint unions of finitely many copies of the free monogenic semigroup., A classification of disjoint unions of two or three copies of the free monogenic semigroup., On properties not inherited by monoids from their Schützenberger groups.

Cites Work

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• On residual finiteness of direct products of algebraic systems
• Green index and finiteness conditions for semigroups.
• Finitely approximable regular semigroups
• Free products of residually finite lattices are residually finite
• Syntactic and Rees indices of subsemigroups
• Residual finiteness of a class of semigroups presented by a single relation
• On finite presentability of monoids and their Schützenberger groups
• Rings with all modules residually finite
• Residual finiteness of finitely generated commutative semigroups
• Finite divisibility in semigroups
• On residual finiteness and finite embeddability
• Finitely separable and finitely approximatable fully 0-simple semigroups
• On nilpotency and residual finiteness in semigroups
• Residual Properties of Infinite Soluble Groups
• On the Finiteness of Certain Soluble Groups
• RESIDUAL FINITENESS AND THE NOETHERIAN PROPERTY OF FINITELY GENERATED LIE ALGEBRAS
• VARIETIES OF RESIDUALLY FINITE LIE ALGEBRAS
• Residual finiteness of free products of combinatorial strict inverse semigroups
• Note on residually finite rings
• Residual Finiteness of Color Lie Superalgebras
• Some Connections between Residual Finiteness, Finite Embeddability and the Word Problem
• Residually finite groups
• Residually Finite Semigroups of Endomorphisms
• On Infinite Soluble Groups (III)