ArticleOriginal scientific text
Title
The Clifford semiring congruences on an additive regular semiring
Authors 1
Affiliations
- Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India
Abstract
A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.
Keywords
additive regular semiring, skew-ring, trace, kernel, Clifford congruence
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Pages:
143-153
Main language of publication
English
Received
2013
Accepted
2014-05-05
Published
2014
DOI: 10.7151/dmgaa.1219
Exact and natural sciences