Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (2): 257-266.

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On Abundant Semigroups with Quasi-ideal Adequate Transversals 

  

  1. Department of Information and Mathematics Sciences, China Jiliang University

  • Received:2005-10-09 Online:2010-06-30 Published:2023-06-05
  • About author:LUO Min-xia(1964-), female, native of Yuncheng, Shanxi, a professor of China Jiliang University, Ph.D., engages in semigroup algebra theory.
  • Supported by:
     Supported by National Natural Science Foundation of China(90818020); Supported by Scientific Research Foundation of China Jiliang University(20060810);

Abstract: In this paper, we discuss some properties about an abundant semigroup with a quasi-ideal adequate transversal. Moreover, we show that the product of two quasi-ideal adequate transversals of an abundant semigroup which satisfies some conditions is a quasiideal adequate transversal.

Key words: abundant semigroup, inverse transversal, quasi-ideal adequate transversal;
adequate semigroup

CLC Number: