On monoids of injective partial selfmaps almost everywhere the identity

• Autorzy: Chuchman I. , Gutik O.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the semigroup (…) of injective partial selfmaps almost everywhere the identity of a set of infinite cardinality (…). We describe the Green relations on (…), all (two-sided) ideals and all congruences of the semigroup (…). We prove that every Hausdorff hereditary Baire topology (…) such that (…) is a semitopological semigroup is discrete and describe the closure of the discrete semigroup (…) in a topological semigroup. Also we show that for an infinite cardinal (…) the discrete semigroup (…) does not embed into a compact topological semigroup and construct two non-discrete Hausdorff topologies turning (…) into a topological inverse semigroup.

Słowa kluczowe

EN

topological semigroup; semitopological semigroup; semigroup of bijective partial transformations; symmetric inverse semigroup; free semilattice; ideal; congruence; Baire space; embedding

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 4
• Strony: 699--722
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Chuchman I.

autor

Gutik O.

• Department Of Mechanics And Mathematics Ivan Franko Lviv National University Universytetska 1 Lviv, 79000, Ukraine,

Bibliografia

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