JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 5, Pages 647 - 659
(October 2017) http://dx.doi.org/10.17654/NT039050647 |
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ON SMALL-SEMIESSENTIAL SUBSEMIMODULES
Mame Demba Cissé and Djiby Sow
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Abstract: In this paper, we introduce and study small-semiessential subsemimodules as extension of semiessential subsemimodules. We show a characterization of small-semiessential subsemimodules in which the radical allows to establish a correspondence with semiessential subsemimodules. Then, with this procedure, we extended some well known results in semiessential subsemimodules to small-semiessential subsemimodules. |
Keywords and phrases: small-semiessential subsemimodule, superfluous subsemimodule, semiessential subsemimodule, radical of a semimodule. |
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