|
- 2018
弱挠自由Rees商序S-系的同调分类
|
Abstract:
摘要: 给出了所有弱挠自由Rees商序S-系具有某种平坦性质的序幺半群刻画,解决了弱挠自由Rees商序S-系的同调分类问题。作为应用,给出了挠自由以及序挠自由Rees商系的同调分类。
Abstract: The characterization of pomonoids over which all weakly torsion free Rees factor S-posets have some kind of flatness is given, and the homological classification problem of weakly torsion free Rees factor S-posets are obtained. As applications, the homological classification of torsion free and po-torsion free Rees factor S-posets are got
[1] | SALNIKOV-TARNOVSKI N. On flatness properties of <i>S</i>-posets[D]. Estonia: University of Tartu, 2005. |
[2] | QIAO Husheng, WANG Limin, LIU Zhongkui. On flatness properties of torsion free right Rees factor acts[J]. Semigroup Forum, 2006, 73(3):470-474. |
[3] | QIAO Husheng, LI Fang. The flatness properties of <i>S</i>-poset <i>A(I)</i> and Rees factor <i>S</i>-posets[J]. Semigroup Forum, 2008, 77(2):306-315. |
[4] | BULMAN-FLEMING S, GUTERMUTH D, GILMOUR A, et al. Flatness properties of <i>S</i>-posets[J]. Communications in Algebra, 2006, 34(4):1291-1317. |
[5] | QIAO Husheng, LIU Zhongkui. On the homological classification of pomonoids by their Rees factor <i>S</i>-posets[J]. Semigroup Forum, 2009, 79(2):385-399. |
[6] | LIANG Xingliang, LAAN V, LUO Yanfeng, et al. Weakly torsion free <i>S</i>-posets[J]. Communications in Algebra, 2017, 45(8):3340-3352. |