W-Closed Submodule and Related Concepts
2018 ◽
Vol 31
(2)
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pp. 164
Keyword(s):
Let R be a commutative ring with identity, and M be a left untial module. In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w-closed in M, "if it has no proper weak essential extension in M", that is if there exists a submodule L of M with K is weak essential submodule of L then K=L. Some basic properties, examples of w-closed submodules are investigated, and some relationships between w-closed submodules and other related modules are studied. Furthermore, modules with chain condition on w-closed submodules are studied.
2017 ◽
Vol 30
(3)
◽
pp. 227
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Keyword(s):
1949 ◽
Vol 1
(2)
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pp. 125-152
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2019 ◽
Vol 19
(10)
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pp. 2050185
Keyword(s):
1975 ◽
Vol 16
(1)
◽
pp. 32-33
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Keyword(s):
1991 ◽
Vol 34
(1)
◽
pp. 161-166
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Keyword(s):
2014 ◽
Vol 96
(3)
◽
pp. 289-302
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Keyword(s):
2019 ◽
Vol 32
(2)
◽
pp. 103
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