Topological semigroups of matrix units

We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies τ on the infinite semigroup of matrix units Bλ such that (Bλ,τ ) is a semitopological (inverse) semigroup are described. We prove the following properties of an infinite topological semi...

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Published in:Algebra and Discrete Mathematics
Date:2005
Main Authors: Gutik, O.V., Pavlyk, K.P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/157194
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Topological semigroups of matrix units / O.V. Gutik, K.P. Pavlyk // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 1–17. — Бібліогр.: 26 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine