Research Article
Semiring with Identity
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 88 - Issue 17 |
| Published: February 2014 |
| Authors: C. Venkata Lakshmi, T. Vasanthi |
10.5120/15442-3600
|
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
Abstract
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.
References
- Arif Kaya and M. Satyanarayana, "Semirings satisfying properties of distributive type", Proceeding of the American Mathematical Society, Volume 82, Number 3, July 1981
- Jonathan S. Golan, " Semirings and their Applications"
- J. Hanumanthachari and D. Umamaheswara Reddy, "A note on maximal and minimal elements in totally ordered semirings". SEA. Bull. Math. Vol. 13. No. 2 (1989).
- J. Hanumanthachari and K. Venuraju , "The additive semigroup structure of semirings". Mathematics seminar notes, Vol. 11(1983),381-386.
- M. Satyanarayana – "On the additive semigroup of ordered semirings",Semigroup forum vol. 31 (1985), 193-199
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