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.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
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)
