JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 16-19.doi: 10.6040/j.issn.1671-9352.0.2017.419

Previous Articles     Next Articles

On products of S-acts

QIAO Hu-sheng, ZHAO Ting-ting   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-08-21 Online:2018-04-20 Published:2018-04-13

Abstract: Let S be a left collapsible or a right reversible monoid. It is proved that some properties can also transfer from products of acts to their components. The results generalized some known results on theseproperties, and some new classes of monoids over which the properties of product of acts can transfer to their components are obtained.

Key words: S-act, left collapsible monoid, right reversible monoid, direct products

CLC Number: 

  • O152.7
[1] LEILA NOURI A H. On properties of product acts over monoids[J]. Communications in Algebra, 2015, 43:1854-1876.
[2] ERSHAD M. On strongly flat and condition(P)S-posets[J]. Semigroup Forum, 2011, 82:530-541.
[3] BULMAN-FLEMING S. Products of projective S-systems[J]. Communications in Algebra, 1990, 19(3):951-964.
[4] SEDAGHTOO M, KHOSRAVI R, ERSHAD M. Principally weakly and weakly coherent monoids[J]. Communications in Algebra, 2009, 37:4281-4295.
[5] CHASE S U. Direct product of modules[J]. Trans Amer Math Soc, 1960, 97:457-473.
[6] KILP M, KNAURE U, MIKHALEV A. Monoids, acts and categories[M]. Berlin: W de Gruyter, 2000.
[1] 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.
[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.
Full text



No Suggested Reading articles found!