# Homomorphisms of completely J -simple semigroups

### Abstract

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.

Published

2018-05-01

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.
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