On Generalized Rings

TL;DR: In this paper, the authors present a comparative analysis of the axiomatization of the (y, z) -homomorphism of an x-ideal and the congruence modu lo an xideal.

TL;DR: In this article, a new class of generalized ring-groupoids, called M-ring-groupoid, has been proposed, which is a generalization of the generalized ring groupoid.

TL;DR: In this article, a new generalization of near ring, called Naïve Near Ring (NaR), has been proposed, where addition need not beabelian, and only one distributive law is postulated.

TL;DR: In this article, a generalized module is introduced as a module-like structure obtained from a generalized group and discussed some properties of its properties and also describes generalized module groupoids, which is a type of groupoid.