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On semirings whose additive reduct is a semilattice
M K SEN, A K BHUNIYA
Published in SPRINGER
2011
Volume: 82
   
Issue: 1
Pages: 131 - 140
Abstract
A semiring S whose additive reduct is a semilattice is called a k-regular semiring if for every a∈S there is x ∈ S such that a + axa=axa. For a semigroup F, the power semiring P(F) is a k-regular semiring if and only if F is a regular semigroup. An element e ∈ S is a k-idempotent if e+e2=e2. Basic properties of k-regular semirings whose k-idempotents are commutative have been studied. © 2010 Springer Science+Business Media, LLC.
About the journal
JournalData powered by TypesetSemigroup Forum
PublisherData powered by TypesetSPRINGER
ISSN0037-1912