C(P')系对幺半群的刻画

doi:10.6040/j.issn.1671-9352.0.2017.512

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 9-13.doi: 10.6040/j.issn.1671-9352.0.2017.512

Previous Articles Next Articles

Characterization of monoids by C(P')acts

LIANG Xing-liang, WU Su-peng, REN Jun

Department of Mathematics, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China

Received:2017-10-01 Online:2018-10-20 Published:2018-10-09

Abstract

Abstract: Let S be a monoid. By using ring theory and module theory, C(P')right S-acts in the category of S-acts are introduced, and some important monoids, such as P(P')monoids, periodic monoids and so on, are characterized by C(P')property of S-acts. Further, some important results on C(P)right S-acts are extended. Meanwhile, an important significance to the application of regularity in S-acts is presented.

Key words: periodic monoid, C(P')act, P(P')monoid, S-act

CLC Number:

O152.7

LIANG Xing-liang, WU Su-peng, REN Jun. Characterization of monoids by C(P')acts[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 9-13.

References 7

[1]	HOWIE J M. An introduction to semigroup theory[M]. London: Academic Press, 1976.
[2]	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.
[3]	LIU Z K, AHSAN J. A Generalization of regular left acts[J]. Northeastern Mathematical Journal, 1997, 13(2):169-176.
[4]	乔虎生. C(P)系对幺半群的刻画[J]. 数学研究与评论, 2004,24(1):119-126. QIAO Husheng. Characterization of monoids by C(P)acts[J]. Journal of Mathematical Research and Exposition, 2004, 24(1):119-126.
[5]	GOLCHIN A, MOHAMMADZAEH H. On condition(P')[J]. Semigroup Forum, 2013, 86:413-430.
[6]	LIANG X L, LUO Y F. On a generalization of weak pullback flatness[J]. Comm Algebra, 2016, 44(9):3796-3817.
[7]	李焕云, 乔虎生. 关于S-系的覆盖[J]. 山东大学学报(理学版), 2016, 51(10):22-27. LI Huanyun, QIAO Husheng. On covers of S-acts[J]. Journal of Shandong University(Natural Science), 2016, 51(10):22-27.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 0

No Suggested Reading articles found!

Characterization of monoids by C(P')acts

PDF (PC)

Abstract

Cite this article

share this article

References 7

Related Articles 3

Metrics

Comments

Recommended 0

[1]	QIAO Hu-sheng, ZHAO Ting-ting. On products of S-acts [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 16-19.
[2]	QIAO Hu-sheng, BAI Yong-fa. Characterization of monoids by inverse S-acts [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 1-4.
[3]	QIAO Hu-sheng, JIN Wen-gang. On monoids over which all weakly injective right S-acts are regular [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 1-3.