JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (8): 49-52.doi: 10.6040/j.issn.1671-9352.0.2018.004

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On homological classification of weakly torsion free Rees factor S-posets

QIAO Hu-sheng, SHI Xue-qin*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2018-01-08 Online:2018-08-20 Published:2018-07-11

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.

Key words: weakly torsion free, WTF right ideal, Rees factor S-poset

CLC Number: 

  • O152.7
[1] SALNIKOV-TARNOVSKI N. On flatness properties of S-posets[D]. Estonia: University of Tartu, 2005.
[2] BULMAN-FLEMING S, GUTERMUTH D, GILMOUR A, et al. Flatness properties of S-posets[J]. Communications in Algebra, 2006, 34(4):1291-1317.
[3] QIAO Husheng, WANG Limin, LIU Zhongkui. On flatness properties of torsion free right Rees factor acts[J]. Semigroup Forum, 2006, 73(3):470-474.
[4] 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.
[5] QIAO Husheng, LIU Zhongkui. On the homological classification of pomonoids by their Rees factor S-posets[J]. Semigroup Forum, 2009, 79(2):385-399.
[6] LIANG Xingliang, LAAN V, LUO Yanfeng, et al. Weakly torsion free S-posets[J]. Communications in Algebra, 2017, 45(8):3340-3352.
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