|
- 2015
关于序主弱平坦S-系的一个推广
|
Abstract:
摘要: 给出了序主弱平坦S-系的一个广义形式, 讨论了序S-系关于该新性质的同调分类问题, 推广了已有的一些结果。
Abstract: A general form of partially ordered principally weakly flat S-posets are presented, and the homological classification problems of S-posets on this new property are investigated. As applications, some known results are generalized
[1] | BULMAN-FLEMING Sydney, GUTERMUTH Denise, GILMOUR Andrew, et al. Flatness properties of S-posets[J]. Comm Alg, 2006, 34(4):1291-1317. |
[2] | SHI Xiaoping, LIU Zhongkui, WANG Fanggui, et al. Indecomposable, projective and flat S-posets[J]. Comm Alg, 2005, 33(1):235-251. |
[3] | SHI Xiaoping. Strongly flat and po-flat S-posets[J]. Comm Alg, 2005, 33(12):4515-4531. |
[4] | QIAO Husheng, LIU Zhongkui. On the homological classification of pomonoids by their Rees Factor S-posets[J]. Semigroup Forum, 2009, 79(2):385-399. |
[5] | KILP Mati. On the homological classification of pomonoids by properties of cyclic S-posets[J]. Semigroup Forum, 2013, 86(3):592-602. |
[6] | QIAO Husheng, LI Fang. The flatness properties of S-poset A(I) and Rees factor S-posets[J]. Semigroup Forum, 2008,77(2):306-315. |
[7] | QIAO Husheng. Strong flatness of right S-acts satisfying condition (P)[J]. Comm Alg, 2002, 33(9):4321-4330. |
[8] | BULMAN-FLEMING Sydney, MAHMOUDI Mojgan. The category of S-posets[J]. Semigroup Forum, 2005, 71(3):443-461. |
[9] | QIAO Husheng, LI Fang. When all S-posets are principally weakly flat[J]. Semigroup Forum, 2007, 75(3):536-542. |
[10] | SHI Xiaoping. On flatness properties of cyclic S-posets[J]. Semigroup Forum, 2008, 77(2):248-266. |