Semigroup of k-bi-Ideals of a Semiring with Semilattice Additive Reduct
We associate a semigroup B(S) to every semiring S with semilattice additive reduct, namely the semigroup of all k-bi-ideals of S; and such semirings S have been characterized by this associated semigroup B(S). A semiring S is k-regular if and only if B(S) is a regular semigroup. For the left k-Cliff...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2016-06-01
|
Series: | Demonstratio Mathematica |
Subjects: | |
Online Access: | http://www.degruyter.com/view/j/dema.2016.49.issue-2/dema-2016-0011/dema-2016-0011.xml?format=INT |