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Weakly Essential Supplemented Modules
Sushma Jat1 , Vivek Prasad Patel2
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.79-83, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.7983
Online published on Jun 30, 2019
Copyright © Sushma Jat , Vivek Prasad Patel . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Sushma Jat , Vivek Prasad Patel, “Weakly Essential Supplemented Modules,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.79-83, 2019.
MLA Style Citation: Sushma Jat , Vivek Prasad Patel "Weakly Essential Supplemented Modules." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 79-83.
APA Style Citation: Sushma Jat , Vivek Prasad Patel, (2019). Weakly Essential Supplemented Modules. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 79-83.
BibTex Style Citation:
@article{Jat_2019,
author = {Sushma Jat , Vivek Prasad Patel},
title = {Weakly Essential Supplemented Modules},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {79-83},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1326},
doi = {https://doi.org/10.26438/ijcse/v6i3.7983}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.7983}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1326
TI - Weakly Essential Supplemented Modules
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Sushma Jat , Vivek Prasad Patel
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 79-83
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this work we extend supplemented modules as weakly essential supplemented modules and some properties of these modules are investigated. We show that every finite sum of weakly essential supplemented modules is weakly essential supplemented
Key-Words / Index Term :
Essential Submodules, Small Submodules, Supplemented Modules, 2010 Mathematics Subject Classification: 16D10, 16D70
References :
[1]. Alizade, R.; B¨uy¨ukas¸ik, E. – Cofinitely weak supplemented modules, Comm. Algebra, 31 (2003), 5377–5390.
[2]. Alizade, R.; B¨uy¨ukas¸ik, E. – Extensions of weakly supplemented modules, Math. Scand., 103 (2008), 161–168.
[3]. B¨uy¨ukas¸ik, E.; T¨urkmen, E. – Strongly radical supplemented modules, Ukrainian Math. J., 63 (2012), 1306-1313.
[4]. B¨uy¨ukas¸ik, E.; Lomp, C. – Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions, Math. Scand., 105 (2009), 25–30.
[5]. Clark, J.; Lomp, C.; Vanaja, N.; Wisbauer, R. – Lifting Modules, Supplements and projectivity in module theory. Frontiers in Mathematics. Birkh¨auser Verlag, Basel, 2006.
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