在简单子模和c环上

IF 1.2 Q2 MATHEMATICS, APPLIED

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY Pub Date : 2022-11-17 DOI:10.1080/09720529.2022.2083682

Shaymaa E. Sarhan, M. M. Abed

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引用次数: 0

摘要

摘要在本文中；我们将研究M的简单子模与C环之间的关系。如果R上的每个扭模M都有简单的子模，则环R称为C-环。我们研究了如果M是半单环上的扭转模；所以，R是C形环。此外，我们还研究了当R是诺瑟环且T（M）=M时的C环，使得具有（SIP）的模的任何直和都具有（SSP）意味着R是C环。我们证明了如果M是一个扭模，M=W+W′，这意味着R是C环，其中W和W′是M的直和。

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On simple submodules and C-rings

Abstract In this paper; we will study the relationship between simple submodules of M and the C-ring. A ring R is called C-ring if every torsion module M over R has simple submodules. We investigated that if M is a torsion module over a semisimple ring; so, R is C-ring. Also, we study C-ring when R is Noetherian and T(M) = M such that any direct sum of modules with (SIP) has (SSP) implies that R is C- ring. We proved that if M is a torsion module and M = W + W′, this means R is C-ring where W and W′ are direct sum of M.

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来源期刊

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

21.40%

发文量

126