Three Roles of Ideal Theory

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

“ Ideal Theory ” as Ideology

individual subsume the workers, women, and nonwhites who are also persons—even if, admittedly, they were not historically recognized as such? I think the problem here is a failure to appreciate the nature and magnitude of the obstacles to the cognitive rethinking required, and the mistaken move— especially easy for analytic philosophers, used to the effortless manipulation of variables, the shi...

The Ideal Theory for WSTS

We begin with a survey on well structured transition systems and, in particular, we present the ideal framework [FG09a,BFM14] which was recently used to obtain new deep results on Petri nets and extensions. We argue that the theory of ideals prompts a renewal of the theory of WSTS by providing a way to define a new class of monotonic systems, the so-called Well Behaved Transition Systems, which...