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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Quotients in Noetherian lattice modules


Author: J. A. Johnson
Journal: Proc. Amer. Math. Soc. 28 (1971), 71-74
MSC: Primary 06.85; Secondary 13.00
MathSciNet review: 0277460
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Abstract: In this paper we obtain a generalization of the fact that if $ M$ is a maximal (proper) ideal of a Noetherian ring $ R$, then the ring $ M/MA$ is a vector space over $ R/M$ for all ideals $ A$ of the ring $ R$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0277460-4
PII: S 0002-9939(1971)0277460-4
Keywords: Lattice, modular, multiplicative, complemented, lattice module, Noetherian
Article copyright: © Copyright 1971 American Mathematical Society