K-分离性质对幺半群的刻画

doi:10.6040/j.issn.1671-9352.0.2021.523

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (6): 31-35.doi: 10.6040/j.issn.1671-9352.0.2021.523

Characterizations of monoids by K-separation property

WANG Ya-ting, QIAO Hu-sheng^*

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Published:2022-06-10

Abstract

CLC Number:

O152.7

WANG Ya-ting, QIAO Hu-sheng. Characterizations of monoids by K-separation property[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(6): 31-35.

[1] 刘仲奎, 乔虎生. 半群的S-系理论[M]. 北京: 科学出版社, 2008. LIU Zhongkui, QIAO Husheng. The S-act theory of semigroups[M]. Beijing: Science Press, 2008.
[2] 乔虎生, 刘仲奎. 半群引论[M]. 北京: 科学出版社, 2019. QIAO Husheng, LIU Zhongkui. An introduction to semigroups[M]. Beijing: Science Press, 2019.
[3] BULMAN-FLEMING S. Flat and strongly flat S-systems[J]. Communications in Algebra, 1992, 20(9):2553-2567.
[4] KHANJANZADEH Z, MADANSHEKAF A. Weak ideal topology in the topos of right acts over a monoid[J]. Communications in Algebra, 2018, 46(5):1868-1888.
[5] 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. QIAO Husheng, SHI Xueqin. On homological classification of weakly torsion free Rees factor S-posets[J]. Journal of Shandong University(Natural Science), 2018, 53(8):49-52.
[6] LAAN V. When torsion free acts are principally weakly flat[J]. Semigroup Forum, 2000, 60(2):321-325.

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Characterizations of monoids by K-separation property

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[1]	LI Yuan, YAO Hai-lou. On torsion free class and cover class in category of comodules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(8): 1-5.
[2]	QIAO Hu-sheng, SHI Xue-qin. On homological classification of weakly torsion free Rees factor S-posets [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(8): 49-52.