拟正则半群的圈积嵌入与矩阵同余  

On a wreath product embedding and matrix congruences on eventually regular semigroups

作　　者：郑恒武[1] 

机构地区：[1]山东曲阜师范大学数学系,曲阜273165

出　　处：《纯粹数学与应用数学》1999年第3期14-17,共4页Pure and Applied Mathematics

基　　金：国家自然科学基金

摘　　要：给出了拟正则半群的圈积嵌入．研究了幂等元集 Ｅ Ｓ 生成的子半群〈 Ｅ Ｓ〉上的矩阵同余可扩张为 Ｓ上的矩阵同余的条件． 特别地，如果〈 Ｅ Ｓ〉上的最小矩阵同余可扩张为 Ｓ上的矩阵同余，那么〈 Ｅ Ｓ〉上的每个矩阵同余可扩张为A semigroup is called eventually regular if a power of each element is regular. In this paper, a wreath product embedding for eventually regular semigroups is given. A matrix congruence ρ  on a semigroup S is a congruence for which S/ρ is a rectangular band. For an eventually regular semigroups S, any matrix congruence on S induces a matrix congruence on the subsemigroup 〈E S〉  generated by the set of idempotents E S. We also deal with conditions by which a matrix congruence on 〈...

关 键 词：拟正则半群 圈积 矩阵同余 同余扩张 

分 类 号：O152.7[理学—数学]