New Properties over a New Type of Wreath Products on Monoids

Wazzan, Suha Ahmed

doi:10.4236/apm.2019.98032

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…When a new semigroup appears, it is necessary to investigate the properties of this semigroup. For example, in [13] and [14] the authors considered a new product and gave some properties on a special product of semigroups (and monoids) [1]. In this paper we more deeply investigate the place  in the literature as a continuation of the work [11].…”

Section: Introductionmentioning

confidence: 99%

Some new properties on N semigroups

URLU ÖZALAN

2024

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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In this study we first show that  satisfies two important homological properties, namely Rees short exact sequence an d short five lemma. In addition, by defining inversive semigroup varieties of  we prove that strictly inverse semigroup  is isomorphic to the spined product of (C)-inversive semigroup and the idempotent semigroup of . Moreover, we give some consequences of the results to make a detailed classification over . It has been recently defined a new semigroup  based on Rees matrix and completely 0-simple semigroups. Further, it has been also proved finiteness conditions and the existence of some fundamental properties over .

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Section: Introductionmentioning

confidence: 99%

Some new properties on N semigroups

URLU ÖZALAN

2024

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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“…Especially, Green's relations may be used to depict the structure of regular semigroups (for example, see eorem 2.1 in [3]). On the other hand, in [4,5], the authors studied some Green's relations for semigroup and monoid structures. e Green's lemma and Green's theorem are the natural next steps in these relations.…”

Section: Introductionmentioning

confidence: 99%

On Classification of Semigroup N by Green’s Theorem

Wazzan

Özalan

2022

Journal of Mathematics

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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.

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New Properties over a New Type of Wreath Products on Monoids

Abstract: In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set

Cited by 2 publications

References 13 publications

Some new properties on N semigroups

Some new properties on N semigroups

On Classification of Semigroup N by Green’s Theorem

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