In this paper we study on commutative rings with identity and all modules are unital left R-modules unless otherwise stated. We define the concept of small submodules for localization modules and additionally, we present the relation between an R-module M and an R_p-localization module M_p for all maximal ideals of R in view of being supplemented.
| Published in | Pure and Applied Mathematics Journal (Volume 3, Issue 3) |
| DOI | 10.11648/j.pamj.20140303.12 |
| Page(s) | 66-69 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Small Submodule, Supplemented Module, Multiplicative Closed Set, Localization Module
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APA Style
Esra Öztürk, Şenol Eren. (2014). A Note on Localization of Supplemented Modules. Pure and Applied Mathematics Journal, 3(3), 66-69. https://doi.org/10.11648/j.pamj.20140303.12
ACS Style
Esra Öztürk; Şenol Eren. A Note on Localization of Supplemented Modules. Pure Appl. Math. J. 2014, 3(3), 66-69. doi: 10.11648/j.pamj.20140303.12
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Download@article{10.11648/j.pamj.20140303.12,
author = {Esra Öztürk and Şenol Eren},
title = {A Note on Localization of Supplemented Modules},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {3},
pages = {66-69},
doi = {10.11648/j.pamj.20140303.12},
url = {https://doi.org/10.11648/j.pamj.20140303.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20140303.12},
abstract = {In this paper we study on commutative rings with identity and all modules are unital left R-modules unless otherwise stated. We define the concept of small submodules for localization modules and additionally, we present the relation between an R-module M and an R_p-localization module M_p for all maximal ideals of R in view of being supplemented.},
year = {2014}
}
TY - JOUR T1 - A Note on Localization of Supplemented Modules AU - Esra Öztürk AU - Şenol Eren Y1 - 2014/07/10 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.20140303.12 DO - 10.11648/j.pamj.20140303.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 66 EP - 69 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20140303.12 AB - In this paper we study on commutative rings with identity and all modules are unital left R-modules unless otherwise stated. We define the concept of small submodules for localization modules and additionally, we present the relation between an R-module M and an R_p-localization module M_p for all maximal ideals of R in view of being supplemented. VL - 3 IS - 3 ER -
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