JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 1-3.doi: 10.6040/j.issn.1671-9352.0.2017.037

    Next Articles

On monoids over which all weakly injective right S-acts are regular

QIAO Hu-sheng, JIN Wen-gang   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-02-10 Online:2017-10-20 Published:2017-10-12

Abstract: Let S be a monoid. The characterizations of monoids over which all weakly injective right S-acts are regular is investigated, some wrong results of Moon are corrected. Moreover, the equivalent characterization of monoids over which all fgdu-weakly injective right S-acts are regular are obtained.

Key words: weakly injective S-act, regular act, fgdu-weakly injective S-act

CLC Number: 

  • O152.7
[1] MOON E L. Monids over which all regular right s-acts are weakly injective[J]. Korean J Math, 2012, 20(4):423-431.
[2] KLIP M, KNAUER U, Mikhalev A V. Monoids, acts, and categories[M]. Berlin: Walter de Gruyter, 2000.
[3] LIU Zhongkui. Monoids over which all regular left acts are flat[J]. Semigroup Forum, 1995, 50:135-139.
[4] HACH T L. Characterization of monoids by regular acts[J]. Period Sci Math Hung, 1985, 16:273-279.
[5] KLIP M, KNAUER U. Characterization of monoids by properties of regular acts[J]. Journal of Pure and Applied Algebra, 1987, 46:217-231.
[1] SHAO Yong. Semilattice-ordered completely regular periodic semigroups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 1-5.
[2] WANG Dan, WANG Zheng-pan. Characterizing a band variety in terms of forbidden subsemigroups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 6-8.
[3] 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.
[4] 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.
[5] GONG Chun-mei, FENG Li-xia, REN Xue-ming. (*,~)-good congruences on completely J *,~-simple semigroups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(6): 11-16.
[6] QIAO Hu-sheng, ZHAO Ting-ting. On products of S-acts [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 16-19.
[7] WANG Shou-feng. λ-Semidirect products of regular semigroups with a multiplicative inverse transversal [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 20-23.
[8] QIAO Hu-sheng, LIAO Min-ying. GP-coherent monoids [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 1-4.
[9] WANG Yong-duo, MA Ya-jun. Simple dual Rickart modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 5-9.
[10] LUO Yong-gui. Maximal(regular)subsemigroups of the semigroup W(n,r) [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 7-11.
[11] WANG Yong-duo, HE Jian. Characterizations of rings relative to an ideal [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 81-84.
[12] WANG Shou-feng. Prehomomorphisms and restricted products of regular semigroups with a multiplicative inverse transversal [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 90-93.
[13] 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.
[14] LI Chun-hua, XU Bao-gen, HUANG Hua-wei. Unipotent congruences on a proper weakly left type B semigroup [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 49-52.
[15] WEN Hai-cun, QIAO Hu-sheng. Pomonoids over which all strongly flat left S-posets are I-regular [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 35-38.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!