On the structure of regular H-cryptogroups

Authors

  • Kar Ping Shum
  • Xiangzhi Kong
  • Yue Ding

Keywords:

The Green-relations, Homomorphisms of H-abundant semigroups, H-cryptogroups

Abstract

We introduce the concepts of Green-relations on H-abundant semigroups. By using the generalized strong semilattice of semigroups, we show that an H-cryptogroup is a regular H-cryptogroup if and only if it is an HG-strong semilattice of completely J-simple semigroups. This result not only extends a known result of Petrich from the class of completely regular semigroups to the class of semi abundant semi groups but also generalizes a well known result of Fountainon superabundant semigroups from the class of abundant semigroups to the class of semiabundant semigroups.

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Published

2007-10-05

How to Cite

Shum, K. P., Kong, X., & Ding, Y. (2007). On the structure of regular H-cryptogroups. European Journal of Pure and Applied Mathematics, 1(1), 46–59. Retrieved from https://ejpam.com/index.php/ejpam/article/view/23

Issue

Vol. 1 No. 1: (January 2008)

Section

Differential Geometry

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.