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Isomorphisms of Prime Goldie Semi-Principal Left Ideal Rings, II

Published online by Cambridge University Press:  20 November 2018

Kenneth G. Wolfson
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Abstract

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A prime Goldie ring K, in which each finitely generated left ideal is principal is the endomorphism ring E(F, A) of a free module A, of finite rank, over an Ore domain F. We determine necessary and sufficient conditions to insure that whenever K ≅ E(F, A) ≅ E(G, B) (with A and B free and finitely generated over domains F and G) then (F, A) is semi-linearly isomorphic to (G, B). We also show, by example, that it is possible for K ≅ E(F, A ) ≅ E(G, B), with F and G, not isomorphic.

Keywords

16A6516A0416A34
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988 , pp. 374 - 379
Copyright
Copyright © Canadian Mathematical Society 1988

References

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