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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On one sided ideals of a prime type


Author: Kwangil Koh
Journal: Proc. Amer. Math. Soc. 28 (1971), 321-329
MSC: Primary 16.20
DOI: https://doi.org/10.1090/S0002-9939-1971-0274488-5
MathSciNet review: 0274488
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Abstract: The notion of prime type for right ideals is analogous to that of prime ideal in a commutative ring, and the right dimension of the ring $ R$ is defined using chains of right ideals of prime type. The meaning of zero right dimension, finite dimension for right primitive rings, and related topics are studied.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0274488-5
Keywords: Normalizer, injective hull, quasi-injective hull, noetherian, artinian, strongly regular ring
Article copyright: © Copyright 1971 American Mathematical Society