X. Z. Kong and K. P. Shum, “A Structure Theorem of Normal -Cryptographs,” Publicationes Mathematicae, Vol. 72, No. 3-4, 2008, pp. 335-346.

has been cited by the following article:

• TITLE: Applications of Homomorphism on the Structure of Semigroups

  AUTHORS: Huishu Yuan, Xiangzhi Kong

  KEYWORDS: Homomorphism; Natural Partial Order; Green’s (*, ~) -Relation; Semilattice Decomposition

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.2, February 28, 2014

  ABSTRACT: By utilizing homomorphisms and -strong semilattice of semigroups, we show that the Green (*,~)-relation H*,~ is a regular band congruence on a r-ample semigroup if and only if it is a G-strong semilattice of completely J*,~-simple semigroups. The result generalizes Petrich’s result on completely regular semigroups with Green’s relation H a normal band congruence or a regular band congruence from the round of regular semigroups to the round of r-ample semigroups.