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Right Bézout ring with waist is a right Hermite ring.

Authors :
Hatalevych, A.
Source :
Ukrainian Mathematical Journal. Aug2010, Vol. 62 Issue 1, p151-154. 4p.
Publication Year :
2010

Abstract

We study noncommutative rings in which the Jacobson radical contains a completely prime ideal. It is proved that a right Bézout ring in which the Jacobson radical contains a completely prime ideal is a right Hermite ring. We describe a new class of Bézout rings that are not elementary divisor rings. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NONCOMMUTATIVE rings
*JACOBSON radical
*RADICAL theory
*RING theory
*ALGEBRAIC number theory

Details

Language :
English
ISSN :
00415995
Volume :
62
Issue :
1
Database :
Academic Search Index
Journal :
Ukrainian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
53361799
Full Text :
https://doi.org/10.1007/s11253-010-0339-1
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