### Prehomomorphisms and restricted products of regular semigroups with a multiplicative inverse transversal

WANG Shou-feng

1. School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China
• Received:2016-11-03 Online:2017-08-20 Published:2017-08-03

Abstract: Prehomomorphisms and restricted products of regular semigroups with a multiplicative inverse transversal are introduced. It is proved that the class of regular semigroups with a multiplicative inverse transversal together with prehomomorphisms form a category, by using restricted products some characterizations of prehomomorphisms between two regular semigroups with a multiplicative inverse transversal are obtained.

CLC Number:

• O152.7
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