Semigroup Forum

, Volume 77, Issue 3, pp 463–473 | Cite as

WLR-regular orthogroups

Research Article
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Abstract

A regular orthogroup S with the property that D e =R e or D e =L e for any idempotent eS is called a WLR-regular orthogroup. In this paper, we give constructions of such semigroups in terms of spined products of left and right regular orthogroups with respect to Clifford semigroups. WLR-cryptogroups and its special cases are also investigated.

Keywords

Clifford semigroup Left (right) regular orthogroup Spined product Cryptogroup 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiPeople’s Republic of China
  2. 2.Department of MathematicsUniversity of Science and Technology of ChinaHefei, AnhuiPeople’s Republic of China
  3. 3.Department of MathematicsSouthwest UniversityChongqingPeople’s Republic of China

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