A class of regular semigroups with regularity-preserving elements

作者：Hickey J B^*

来源：Semigroup Forum, 2010, 81(1): 145-161.

DOI：10.1007/s00233-009-9170-0

• Regular semigroup
• Regularity-preserving element
• Local submonoid
• Rees matrix semigroup

We consider regular semigroups S that are the disjoint union of those local submonoids eSe for which the idempotent e is regularity-preserving. The structure of these is given in terms of Rees matrix semigroups over regular monoids, and a description of certain RP-dominated regular semigroups is obtained as a special case.

• 出版日期2010-8