✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Moreover, we generalize various results of nite AG-groupoids by removing the condition of existence of left identity.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:An Abel-Grassmann's groupoid (brie y AG-groupoid) is a groupoid S satisfying the left invertive law: (xy)z = (zy)x for all x, y, z \in S.
📊
Temel Bulgular & Veri:In the present paper, wediscuss the left and right cancellative property of elements of the nite AG-groupoid S.
💡
Sonuç & Katkı:Moreover, we generalize various results of nite AG-groupoids by removing the condition of existence of left identity.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:AG-groupoid · AG-subgroupoid · Cancellative elements
Abstract
An Abel-Grassmann's groupoid (brie y AG-groupoid) is a groupoid S satisfying the left invertive law: (xy)z = (zy)x for all x, y, z \in S. In the present paper, wediscuss the left and right cancellative property of elements of the nite AG-groupoid S. For an AG-groupoid with left identity it is known that every left cancellative ele-ment is right cancellative. We prove a problem (for nite AG-groupoids) that every left cancellative element of an AG-groupoid (without left identity) is right cancella-tive. Moreover, we generalize various results of nite AG-groupoids by removing the condition of existence of left identity.
🔖
Bu Makaleye Atıf Yap
KHAN, M., KHAN, A., KHAN, M. U. (2020). Cancellative Elements in Finite AG-groupoids. Journal of New Theory, Sayı: 30, 53–56. https://ajindex.com/articles/681510