关于强平坦序左S-系是I-正则系的序幺半群  

Pomonoids over which all strongly flat left S-posets are I-regular

作　　者：文海存 乔虎生[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2016年第8期35-38,共4页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11461060)

摘　　要：设S是序幺半群。证明了所有强平坦的序左S-系是I-正则的当且仅当S是左PSF且左半完全的序幺半群,亦等价于S是左PP序幺半群且满足性质(FP_2)。此外,给出了关于每个I-正则序左S-系满足条件(P)的序幺半群的刻画。Let S be a pomonoid. All strongly flat left S-posets are I-regular if and only if S is a left PSF and left semiperfect pomonoid are presented. It is also equivalent with S is a left PP pomonoid,and satisfying property( FP_2). Furthermore,pomonoids over which every I-regular left S-poset satisfying Condition( P) are characterized.

关 键 词：序S-系 强平坦 I-正则 

分 类 号：O152.7[理学—数学]