JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (2): 61-66.doi: 10.6040/j.issn.1671-9352.0.2021.408

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(~)-Good congruences on Rees matrix semigroups over semiadequate semigroups

CUI Qian, GONG Chun-mei*, WANG Hui   

  1. School of Science, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China
  • Published:2022-01-07

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Abstract: The(~)-good congruences of Rees matrix semigroups over semiadequate semigroups with congruence condition are studied. Firstly, some properties of Rees matrix semigroups are given, and then, the(~)-good congruence of such semigroups are characterized by means of(~)-good congruence pairs.

Key words: good congruences, good congruence pairs, semiadequate semigroups, Rees matrix semigroups

CLC Number: 

  • O152.7
[1] FOUNTAIN J. Abundant semigroups[J]. Proceedings of the London Mathematical Society, 1982, 44(1):103-129.
[2] LAWSON M V. Rees matrix semigroups[J]. Proceedings of the Edinburgh Mathematical Society, 1990, 33(1):23-37.
[3] GALBIATI J L, VERONESI M L. Congruences on semigroups which are perfect rectangular bands of inverse semigroups[J]. Semigroup Forum, 1986, 33(1):309-330.
[4] GUO Xiaojiang, WANG Liming. Idempotent-connected abundant semigroups which are disjoint unions of quasi-ideal adequate transversalis [J]. Communications in Algebra, 2002, 30(4):1779-1800.
[5] 李春华,郭小江,刘二根.适当半群完备矩形带上的好同余[J]. 数学进展,2009, 38(4):465-476. LI Chunhua, GUO Xiaojiang, LIU Ergen. Good congruences on perfect rectangular bands of adequate semigroups[J]. Advances in Mathematics(China), 2009, 38(4):465-476.
[6] HOWIE J M. An introduction to semigroup theory [M]. London: Academic Press, 1976.
[7] 宫春梅. G-广义完全正则半群的若干研究[D]. 重庆:西南大学, 2011. GONG Chunmei. Some studies on G-generalized completely regular semigroups[D]. Chongqing: Southwest University, 2011.
[8] YAO Huiling, CHEN Yizhi, LI Yonghua. IC quasi-semiadequate semigroups satisfying the congruence condition[J]. Pure and Applied Mathematics, 2010, 21(1):79-98.
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