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Sorry, the nilpotents are in the center

Authors :
Chintala, Vineeth
Publication Year :
2018

Abstract

The behavior of nilpotents can reveal valuable information about the algebra. We give a simple proof of a classic result that a finite ring is commutative if all its nilpotents lie in the center.<br />Comment: 4 pages

Subjects

Subjects :
Mathematics - Rings and Algebras
16P10, 16U99

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1805.11451
Document Type :
Working Paper

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