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On Lifting Idempotents

Published online by Cambridge University Press:  20 November 2018

Kwangil Koh
Kwangil Koh*
Affiliation:
North Carolina State University, Raleigh, North Carolina 27607
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Let N be an ideal of a ring A. We say that idempotents modulo N can be lifted provided that for every a of A such that a2-a ∈ N there exists an element e2=e ∈ A such that e-a ∈ N. The technique of lifting idempotents is considered to be a fundamental tool in the classical theory of nonsemiprimitive Artinian rings (refer [2; p. 72]).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 607
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Jacobson, N., Structure of Rings, American Mathematical Society Colloquium, Vol. 36, Rev. ed. Providence, R.I.: 1964.Google Scholar
2. Lambek, J., Lectures on Rings and Modules, Blaisdell Publishing Company, Waltham, Massachusetts: 1966.Google Scholar