On Classification of Semigroup N by Green’s Theorem

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 by indicating the existence of Green’s lemma. We also study generalized Green’s relation over and present some new findings. In particular, we classify our semigroup associated with generalized Green’s relation by constructing good homomorphism.

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Detaylı Görünüm
Eser Adı
(dc.title)		On Classification of Semigroup N by Green’s Theorem
Yayın Türü
(dc.type)		Makale
Yazar/lar
(dc.contributor.author)		URLU ÖZALAN, Nurten
Yazar/lar
(dc.contributor.author)		WAZZAN, Suha
Atıf Dizini
(dc.source.database)		Wos
Atıf Dizini
(dc.source.database)		Scopus
Yayın Tarihi
(dc.date.issued)		2022
Kayıt Giriş Tarihi
(dc.date.accessioned)		2023-02-24T13:22:23Z
Açık Erişim tarihi
(dc.date.available)		2023-02-24T13:22:23Z
Özet
(dc.description.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 by indicating the existence of Green’s lemma. We also study generalized Green’s relation over and present some new findings. In particular, we classify our semigroup associated with generalized Green’s relation by constructing good homomorphism.
Yayın Dili
(dc.language.iso)		en
Tek Biçim Adres
(dc.identifier.uri)		http://hdl.handle.net/20.500.12498/5849
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