关于Abel-Grassmann广群胚的几类
On some classes of Abel-Grassmann's groupoids
摘要：
本文利用AG-广群的结构性质研究了不同类的AG-广群。证明了弱正则、内正则、右正则、左正则、左拟正则和完全正则在具有左单位元的AG-广群和AG^{**}-广群中是一致的。进一步证明了每一个正则（弱正则，内正则，右正则，左正则，左拟正则，完全正则）的具有左恒等式的AG-广群（AG^{**}-广群）都是正则的，但反之一般不成立。同时也证明了不存在非结合正则、弱正则、内正则、右正则、左正则、左拟正则和完全正则AG^{*}群胚。
英文摘要：
In this paper, we have investigated different classes of an AG-groupoid by their structural properties. We have prove that weakly regular, intra-regular, right regular, left regular, left quasi regular and completely regular coincide in an AG-groupoid with left identity and in AG^{**}-groupoid. Further we have prove that every regular (weakly regular, intra-regular, right regular, left regular, left quasi regular, completely regular) AG-groupoid with left identity (AG^{**}-groupoid) is regular but the converse is not true in general. Also it has been shown that non-associative regular, weakly regular, intra-regular, right regular, left regular, left quasi regular and completely regular AG^{*} groupoids do not exist.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
