Maximal subsemigroups of the semigroup of all mappings on an infinite set

DOI10.1090/S0002-9947-2014-06110-2zbMath1312.20057arXiv1104.2011OpenAlexW2024114763MaRDI QIDQ5496651

James East, James D. Mitchell, Yann Peresse

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2011

zbMATH Keywords

transformation semigroupsinfinite setsmaximal subsemigroupssubgroups of symmetric groups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Subgroups of symmetric groups (20B35)

Related Items (15)

Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set ⋮ Semigroups of rectangular matrices under a sandwich operation ⋮ Maximal subsemigroups of finite transformation and diagram monoids ⋮ Computing maximal subsemigroups of a finite semigroup ⋮ Embedding theorems and maximal subsemigroups of some linear transformation semigroups with restricted range ⋮ Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones ⋮ Centralizers in the full transformation semigroup. ⋮ Infinite dual symmetric inverse monoids ⋮ Cross-connections and variants of the full transformation semigroup ⋮ A finite interval in the subsemigroup lattice of the full transformation monoid. ⋮ Maximal subsemigroups and finiteness conditions on transformation semigroups with fixed sets ⋮ Congruences on infinite semigroups of transformations preserving a zig-zag order ⋮ The regular part of a semigroup of full transformations with restricted range: maximal inverse subsemigroups and maximal regular subsemigroups of its ideals ⋮ Unnamed Item ⋮ Cross-connections of the singular transformation semigroup

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