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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Date: | 2014 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2014
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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. |