On Classification of Semigroup N by Green’s Theorem

Suha Wazzan, Nurten Urlu Ozalan and Kenan Yildirim

Journal of Mathematics, 2022, vol. 2022, 1-7

Abstract: In previous papers, it has been recently defined a new class of semigroups based on both Rees matrix and completely 0-simple semigroups. For this new structure, it has been introduced with certain basic properties and finiteness conditions. The main goal of the paper is to prove Green’s Theorem for N by indicating the existence of Green’s lemma. We also study generalized Green’s relation over N and present some new findings. In particular, we classify our semigroup N associated with generalized Green’s relation by constructing good homomorphism.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9193446

DOI: 10.1155/2022/9193446

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