ON THE SUBSEMIGROUP GENERATED BY ORDERED IDEMPOTENTS OF A REGULAR SEMIGROUP
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 2
Abstract
An element e of an ordered semigroup S is called an ordered idempotent if e ≤ e^2. 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.
Authors and Affiliations
Anjan Kumar Bhuniya, Kalyan Hansda
Keywords
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