The week's pick
Reseach Article
Some Special Classes of Semirings
| International Journal of Applied Information Systems |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 6 - Number 8 |
| Year of Publication: 2014 |
| Authors: C. Venkata Lakshmi, T. Vasanthi |
10.5120/ijais14-451093
|
C. Venkata Lakshmi, T. Vasanthi . Some Special Classes of Semirings. International Journal of Applied Information Systems. 6, 8 ( February 2014), 27-29. DOI=10.5120/ijais14-451093
Abstract
In this paper, we discuss the structure of some special classes of semirings . Here the properties of Viterbi semirings; PRD semirings satisfying the identity ab + a = a, for all a, b in S and semirings satisfying the identity a + ab + a = a, for all a, b in S are studied. We proved that (S, +, •) is a semiring satisfying the identity a + ab + a = a, in which if S contains the multiplicative identity which is also an additive identity, then S is a multiplicatively subidempotent semiring.
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".
- Jonathan S. Golan, " Semirings and Affine Equations over Them : Theory and Applications". Kluwer Academic.
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