UGC Approved Journal no 63975(19)

ISSN: 2349-5162 | ESTD Year : 2014
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Published in:

Volume 6 Issue 6
June-2019
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1906C53


Registration ID:
215352

Page Number

322-325

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Title

Extensions Of Weakly Essential Supplemented Modules

Abstract

It is shown that weakly essential supplemented modules need not be closed under extension (i.e. if U and M/U are weakly essential supplemented then M need not be weakly essential supplemented). We prove that, if U has a weak essential supplement in M then M is weakly essential supplemented. For a commutative ring R, we prove that R is semilocal if and only if every direct product of simple R-modules is weakly essential supplemented.

Key Words

Essential Submodules, Small Submodules, Supplemented Modules,torsion module.

Cite This Article

"Extensions Of Weakly Essential Supplemented Modules", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.322-325, June-2019, Available :http://www.jetir.org/papers/JETIR1906C53.pdf

ISSN


2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"Extensions Of Weakly Essential Supplemented Modules", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp322-325, June-2019, Available at : http://www.jetir.org/papers/JETIR1906C53.pdf

Publication Details

Published Paper ID: JETIR1906C53
Registration ID: 215352
Published In: Volume 6 | Issue 6 | Year June-2019
DOI (Digital Object Identifier):
Page No: 322-325
Country: BHOPAL, MP, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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