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- Title
ON THE SUBSEMIGROUP GENERATED BY ORDERED IDEMPOTENTS OF A REGULAR SEMIGROUP.
- Authors
BHUNIYA, ANJAN KUMAR; HANSDA, KALYAN
- Abstract
An element e of an ordered semigroup S is called an ordered idempotent if e ≤ e². Here we characterize the subsemigroup < E ≤(S) > generated by the set of all ordered idempotents of a regular ordered semigroup S. If S is a regular ordered semigroup then < E ≤(S) > is also regular. If S is a regular ordered semigroup generated by its ordered idempotents then every ideal of S is generated as a subsemigroup by ordered idempotents.
- Subjects
SEMIGROUPS (Algebra); IDEMPOTENTS; IDEALS (Algebra); COMPLETELY regular codes; MATHEMATICAL analysis
- Publication
Discussiones Mathematicae: General Algebra & Applications, 2015, Vol 35, Issue 2, p205
- ISSN
1509-9415
- Publication type
Article
- DOI
10.7151/dmgaa.1235