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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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Bibliographic Details
Main Authors: Gutik, O.V., Pavlyk, K.P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2005
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157194
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