弱P-毕竟正则半群的半直积和圈积  

Semidirect Products and Wreath Products of Weakly P-eventually Regular Semigroups

作　　者：张晓敏[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165

出　　处：《临沂师范学院学报》2006年第3期8-10,25,共4页Journal of Linyi Teachers' College

摘　　要：引入一类新的半群-弱P-毕竟正则半群．令S和丁是幺半群,α:S→Aut(T)是半群同态映射,X是左S-系．我们给出了S和T的半直积S×αT是弱P-毕竟正则半群的充分必要条件,并得到了圈积SwXT是弱P-毕竟正则半群的充分必要条件．The conhcept of weakly P--eventually regular semigroups is introduced. Let S and T be monoids,a ： S→Aut（T） is a semigroup homomorphism,and x is a left system of semigroup S . The necessay and sufficient conditions for semidirect prooducts S×aT of S and T to be weakly P--eventually arc given, and the necessay and sufficient conditions for wreath products SwxT to he weakly P--eventually are obtained.

关 键 词：弱P-毕竞正则半群 半直积 圈积 

分 类 号：O152.7[理学—数学]