Pseudo-Regularity

Author:

Divinsky Nathan

Abstract

Introduction. An element x is said to be right-quasi-regular (r.q.r.) if there exists an element y such that x + y + xy = 0. This concept had its inception in the fact that (for rings with unity) if 1 + x has an inverse, written as 1 + y, then (1 + x)(l + y) = 1, x + y + xy = 0. Thus in rings without unity elements it seemed (1; 3; 12) profitable to consider this latter equation.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A generalisation of regularities in near-rings;Communications in Algebra;1989-01

2. A class of regularities for rings;Journal of the Australian Mathematical Society;1979-06

3. The radical property of rings such that every homomorphic image has no nonzero left annihilators;Mathematische Nachrichten;1971

4. Rings with Central Idempotent or Nilpotent Elements;Proceedings of the Edinburgh Mathematical Society;1958-05

5. -regularity;Proceedings of the American Mathematical Society;1958

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