JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (8): 90-93.doi: 10.6040/j.issn.1671-9352.0.2016.507

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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

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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.

Key words: multiplicative inverse transversal, restricted product, prehomomorphism, category, regular semigroup

CLC Number: 

  • O152.7
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