Homomorphisms of completely J -simple semigroups

  • X. M. Ren
  • Y. Yuan
  • P. F. Hui
  • Kar Ping Shum Institute of Mathematics Yunnan University


It is known that every completely J -simple semigroup is isomorphic to a normalized Rees
matrix semigroups over a cancellative monoid. By using this result, we prove that the homomorphism of
a completely J -simple semigroup is a good homomorphism. Consequently, a method of construction of
such a homomorphism is described in this paper. Some necessary and sucient conditions for a completely
J -simple semigroups to be an isomorphism are given.

How to Cite
REN, X. M. et al. Homomorphisms of completely J -simple semigroups. Eurasian Bulletin of Mathematics (ISSN: 2687-5632), [S.l.], p. 50-57, may 2018. ISSN 2687-5632. Available at: <http://www.ebmmath.com/index.php/EBM/article/view/19>. Date accessed: 26 jan. 2022.