山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (8): 35-38.doi: 10.6040/j.issn.1671-9352.0.2015.351
文海存,乔虎生*
WEN Hai-cun, QIAO Hu-sheng*
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(FP2)。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。
中图分类号:
| [1] ERSHAD M, KHOSRAVI R. On strongly flat and condition(P)S-posets[J]. Semigroup Forum, 2011, 82:530-541. [2] VICTORIA Gould, LUBNA Shaheen. Perfection for pomonoids[J]. Semigroup Forum, 2010, 81:102-127. [3] SHI Xiaoping, LIU Zhongkui, WANG Fanggui, et al. Indecomposable, Projective and Flat S-posets[J]. Comm. Algebra, 2005, 33:235-251. [4] SHI Xiaoping. On flatness properties of cyclic S-posets[J]. Semigroup Forum, 2008, 77:248-266. [5] QIAO Husheng. On monoids over which all strongly flat right S-acts are Regular[J]. Journal of Mathematical Research and Exposition, 2006, 26(4):720-724. [6] MATI Kilp. On monoids over which all strongly flat cyclic right acts are projective[J]. Semigroup Forum, 1996, 52:241-245. [7] SEDAGHATJOO M, LAAN V, ERSHAD M. Principal weak flatness and regularity of diagonal acts[J]. Comm Algebra, 2012, 40:4019-4030. [8] SYDNEY Bulman-Fleming. Flat and strongly flat S-systems[J]. Comm.Algebra, 1992, 20(9):2553-2567. [9] SHI Xiaoping. Strongly flat and po-flat S-posets[J]. Comm Algebra, 2005, 33:4515-4531. |
| [1] | 乔虎生,石学勤. 弱挠自由Rees商序S-系的同调分类[J]. 山东大学学报（理学版）, 2018, 53(8): 49-52. |
|
||
