K. Mohammad ali, H., S. Mohammed, A., D. Sallman, M. (2018). 2-Maximal Submodules and Related Concepts.. , 11(3), 102-109. doi: 10.37652/juaps.2017.148087
Haibat K. Mohammad ali; Akram S. Mohammed; Mohammad D. Sallman. "2-Maximal Submodules and Related Concepts.". , 11, 3, 2018, 102-109. doi: 10.37652/juaps.2017.148087
K. Mohammad ali, H., S. Mohammed, A., D. Sallman, M. (2018). '2-Maximal Submodules and Related Concepts.', , 11(3), pp. 102-109. doi: 10.37652/juaps.2017.148087
K. Mohammad ali, H., S. Mohammed, A., D. Sallman, M. 2-Maximal Submodules and Related Concepts.. , 2018; 11(3): 102-109. doi: 10.37652/juaps.2017.148087

2-Maximal Submodules and Related Concepts.

Journal of University of Anbar for Pure Science
Article 26, Volume 11, Issue 3, 2017, Pages 102-109    PDF (308.13 K)
Document Type: Research Paper
DOI: 10.37652/juaps.2017.148087
Authors
Haibat K. Mohammad ali; Akram S. Mohammed; Mohammad D. Sallman
College of Computer Science and Mathematics-Tikrit University
Abstract
"Throughout this paper R represents commutative ring with identity and M is unitary left R-module", the purpose of this paper is to study new concept (up to our knowledge) , named 2-maximal submodule which is a generalization of maximal submodule , "where a submodule N of an R-module M is called 2-maximal" submodul of M if and only if M/N is 2-regular R-module . Many characterizations and properties of 2-maximal submodules are given . Moreover we studied the behavior of 2-maximal submodule in some classes of module . Finally we give the sufficient condition 2-maximal submodules to be semi-maximal weak-maximal submodules are introduced .
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