Congruences on the partial automorphism monoid of a free group action

DOI10.1142/S0218196721400075zbMath1485.20139arXiv2002.00891OpenAlexW3166049760MaRDI QIDQ4957771

Matthew D. G. K. Brookes

Publication date: 9 September 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00891

zbMATH Keywords

congruencesfree group actionsubgroups of direct productspartial automorphism monoid

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Subalgebras, congruence relations (08A30) Inverse semigroups (20M18)

Related Items (3)

Ranks and presentations of some normally ordered inverse semigroups ⋮ Presentations for wreath products involving symmetric inverse monoids and categories ⋮ Product decompositions of semigroups induced by action pairs

Cites Work

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• Congruences on Brandt semigroups
• Classical finite transformation semigroups. An introduction.
• Congruences on inverse semigroups
• Congruence lattices of finite diagram monoids
• Congruences on direct products of transformation and matrix monoids
• Independence algebras
• A generalized Goursat lemma
• Kernels of inverse semigroup homomorphisms
• Semimodular Inverse Semigroups
• Products of idempotent endomorphisms of an independence algebra of infinite rank
• Independence in a certain class of abstract algebras
• The Maximum Idempotent-Separating Congruence on an Inverse Semigroup

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