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A new semigroup obtained via known ones. (English) Zbl 1468.20096

Summary: The goal of this paper is to establish a new class of semigroups based on both Rees matrix and completely \(0\)-simple semigroups. We further present some fundamental properties and finiteness conditions for this new semigroup structure.

MSC:

20M05 Free semigroups, generators and relations, word problems
20M17 Regular semigroups
20M10 General structure theory for semigroups
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