Properties of a certain product of submodules

Let R be a commutative ring with identity, M an R-module and K1, . . . , Kn submodules of M. In this article, we construct an algebraic object, called product of K1, . . . , Kn. We equipped this structure with appropriate operations to get an R(M)-module. It is shown that R(M)-module Mⁿ = M . . ....

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Bibliographic Details
Date:2011
Main Authors: Heidari, S., Nikandish, R., Nikmehr, M.J.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166026
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Properties of a certain product of submodules / S. Heidari, R. Nikandish, M.J. Nikmehr // Український математичний журнал. — 2011. — Т. 63, № 4. — С. 502–512. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine