WebStrongly prime rings were introduced by Handelman and Lawrence [5] and in [2] Groenewald and Heyman investigated the upper radical determined by the class of all strongly prime rings. In this paper we extend the concept of strongly prime to near-rings. We show that the class M of distributively generated near-rings is a special class Webprime radical of an ideal in a ternary hemiring and prime radical of ternary hemiring. AMS Subject Classification: 16Y60, 16Y30 Key Words: ternary hemiring, prime ideal, semiprime ideal, strongly irre-ducible ideal, primary ideal,prime radical 1. Introduction Lister [4] introduced the notion of ternary rings and studied some of their

One Ring to Rule Them All - Etsy

WebA ternary ring R is right strongly prime if every nonzero ideal of R contains a finite subset G such that the right annihilator of G with respect to a finite subset of R is zero. … Web2 de out. de 2024 · A ring R is (right) strongly prime (SP) if every nonzero twosided ideal contains a finite set whose right annihilator is zero. Examples are domains, prime … costco prices in hawaii appliances

Prime Bi-Ternary -Ideals in Ternary Semirings

WebIn this paper we introduce the notions of strongly prime ideal in a semiring and strongly prime semiring and study some of its properties. Also we characterize strongly prime … http://eastwestmath.org/index.php/ewm/article/download/59/59/ WebIn this paper, we consider the weakly special radical classes and special radical classes of ternary semirings. Some of our results are similar to those in rings theory as well as in semiring theory. In particular, the upper radicals of the above two classes are determined. costco price tags