International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 88 - Issue 17 |
Published: February 2014 |
Authors: C. Venkata Lakshmi, T. Vasanthi |
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C. Venkata Lakshmi, T. Vasanthi . Semiring with Identity. International Journal of Computer Applications. 88, 17 (February 2014), 5-7. DOI=10.5120/15442-3600
@article{ 10.5120/15442-3600, author = { C. Venkata Lakshmi,T. Vasanthi }, title = { Semiring with Identity }, journal = { International Journal of Computer Applications }, year = { 2014 }, volume = { 88 }, number = { 17 }, pages = { 5-7 }, doi = { 10.5120/15442-3600 }, publisher = { Foundation of Computer Science (FCS), NY, USA } }
%0 Journal Article %D 2014 %A C. Venkata Lakshmi %A T. Vasanthi %T Semiring with Identity%T %J International Journal of Computer Applications %V 88 %N 17 %P 5-7 %R 10.5120/15442-3600 %I Foundation of Computer Science (FCS), NY, USA
In this paper, we study the properties of semiring with identity ab + a = a and also study the properties of ordered semiring satisfying the identity ab + a = a, for all a, b in S. This paper contains mainly two sections. In section 1, the structure of semirings satisfying the identity ab + a = a, for all a, b in S are studied. In section 2, we characterize totally ordered semirings satisfying the identity ab + a = a, for all a, b in S.