Some new properties on N semigroups

Yıl 2024, Cilt: 26 Sayı: 1, 180 - 187, 19.01.2024

Nurten Urlu Özalan

https://doi.org/10.25092/baunfbed.1299271

Öz

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 .

Anahtar Kelimeler

Rees matrix semigroup, completely 0-simple Semigroup, spined product

N yarıgrubu üzerinde bazı yeni özellikler

Öz

Bu çalışmada ilk olarak ' nin iki önemli homolojik özelliği, yani Rees kısa tam dizisi ve kısa beşli lemmayı sağladığı gösterilmiştir. Ek olarak, 'nin ters yarı grup çeşitlerini tanımlayarak, kesin olarak ters yarıgrup  'nın (C)-ters yarıgrup ve 'nın idempotent yarıgrubunun (spined) döndürülmüş çarpımına izomorfik olduğu kanıtlanmıştır. Ayrıca,  üzerinden ayrıntılı bir sınıflandırma yapmak için bazı sonuçlar verilmiştir. Son zamanlarda Rees matrisine ve tam 0-basit yarı gruplara dayalı yeni bir yarı grup olan  tanımlanmıştır. Dahası  üzerinde bazı temel özelliklerin ve sonluluk koşullarının varlığı da kanıtlanmıştır.

Anahtar Kelimeler

Rees matris yarıgrup, tam basit sıfır yarıgrup, döndürülmüş çarpımlar

Kaynakça

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