Ideal theory of semiring

An Ideal-based Zero-divisor Graph of a Commutative Semiring

There is a natural graph associated to the zero-divisors of a commutative semiring with non-zero identity. In this article we essentially study zero-divisor graphs with respect to primal and non-primal ideals of a commutative semiring R and investigate the interplay between the semiring-theoretic properties of R and the graph-theoretic properties of ΓI(R) for some ideal I of R. We also show tha...

On a Wedderburn-artin Structure Theory of a Potent Semiring.

ideal theory in  -semihyperrings

the concept of  -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of      -semiring. since the theory of ideals plays an important role in the theory of  - semihyperring, in this paper, we will make an intensive study of the notions of noetherian, artinian, simple and   regular      -semihyperrings. the bulk of this paper...

Ideal Theory of BCH - Algebras

Corresponding Author: Dr. Arsham Borumand Saeid, Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, email: [email protected] 1446 Ideal Theory of BCH-Algebras 1A. Borumand Saeid, 2A. Namdar and 3R.A. Borzooei Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran Department of Mathematics, Islamic Azad University Zarin Dasht Branch, Iran Depar...

Multiplicative Ideal Theory