On monoids of monotone injective partial selfmaps of Ln ×lex Z with co-finite domains and images

We study the semigroup IO∞(Zⁿlex) of monotone injective partial selfmaps of the set of Ln × lex Z having co-finite domain and image, where Ln ×lex Z is the lexicographic product of n-elements chain and the set of integers with the usual order. We show that IO∞(Zⁿlex) is bisimple and establish its pr...

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Bibliographic Details
Date:2014
Main Authors: Gutik, O., Pozdnyakova, I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153337
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On monoids of monotone injective partial selfmaps of Ln ×lex Z with co-finite domains and images / O. Gutik, I. Pozdnyakova // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 256–279. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine