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Pseudo-Regularity

Published online by Cambridge University Press:  20 November 2018

Nathan Divinsky
Nathan Divinsky*
Affiliation:
University of Manitoba
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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.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955, pp. 401 - 410
Copyright
Copyright © Canadian Mathematical Society 1955

References

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