✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We then obtained some results for these newly defined semigroups.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:Let $S$ be a $\Gamma$-semigroup with zero.
📊
Temel Bulgular & Veri:We define the $S_{S}^{\Gamma}$ subset of $S$ as $S_{S}^{\Gamma}=\{a\in S \mid a\Gamma (S\Gamma a)=(0)\}.$ This set is called the source of $\Gamma$-semiprimeness of $S$.
💡
Sonuç & Katkı:We then obtained some results for these newly defined semigroups.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Source of $\Gamma$-semiprimeness · $\lvert S_{S}^{\Gamma}\rvert$-idempotent $\Gamma$-semigroup · $\lvert S_{S}^{\Gamma}\rvert$-regular $\Gamma$-semigroup
Abstract
Let $S$ be a $\Gamma$-semigroup with zero. We define the $S_{S}^{\Gamma}$ subset of $S$ as $S_{S}^{\Gamma}=\{a\in S \mid a\Gamma (S\Gamma a)=(0)\}.$ This set is called the source of $\Gamma$-semiprimeness of $S$. In this study, we examined some properties of $S_{S}^{\Gamma}$ set and defined $\lvert S_{S}^{\Gamma}\rvert$-idempotent , $\lvert S_{S}^{\Gamma}\rvert$-regular and $\lvert S_{S}^{\Gamma}\rvert$-reduced $\Gamma$-semigroups. We then obtained some results for these newly defined semigroups.
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
Yeşil, D., Mekera, R., Camcı, D. K. (2025). The Source of $\Gamma$-semiprimeness on $\Gamma$-semigroups. Turkish Journal of Mathematics and Computer Science, Volume: 17 Issue: 1. https://doi.org/10.47000/tjmcs.1378193