S-maximal Submodules
Baghdad Science Journal
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| Title |
S-maximal Submodules
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| Creator |
Journal, Baghdad Science
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| Description |
Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ? W ? M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of rings and modules. .
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| Publisher |
College of Science for Women - University of Baghdad
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| Date |
2015-03-01
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/542
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| Source |
مجلة بغداد للعلوم; مجلد 12 عدد 1 (2015): issue 1; 210-220
Baghdad Science Journal; Vol 12 No 1 (2015): issue 1; 210-220 2411-7986 2078-8665 |
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| Language |
eng
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| Relation |
http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/542/473
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| Rights |
Copyright (c) 2015 Baghdad Science Journal
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