On monoids of monotone injective partial selfmaps of $L_n\times_{\operatorname{lex}}\mathbb{Z}$ with co-finite domains and images

zbMath1327.22003arXiv1311.6175MaRDI QIDQ5178712

Inna V. Pozdnyakova, Oleg V. Gutik

Publication date: 16 March 2015

Full work available at URL: https://arxiv.org/abs/1311.6175

zbMATH Keywords

automorphismembeddingBaire spacesemitopological semigrouphomomorphismidealtopological semigroupcongruencesymmetric inverse semigroupsemigroup of bijective partial transformationssemigroup topologization

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Baire category, Baire spaces (54E52) Remainders in general topology (54D40) Embedding (54C25) Structure of topological semigroups (22A15) Mappings of semigroups (20M15) Inverse semigroups (20M18) Topological representations of algebraic systems (54H10)

Related Items (4)

The monoid of order isomorphisms between principal filters of \(\mathbb{N}^n\) ⋮ On locally compact semitopological O-bisimple inverse \(\omega\)-semigroups ⋮ Congruences on the Monoid of Monotone Injective Partial Self-Maps of L n × lexℤ with Cofinite Domains and Images ⋮ On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

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