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ET-Coessential and ET-Coclosed submodules
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Let M be an R-module, where R be a commutative;ring with identity. In this paper, we defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of M. Let T be a submodule of M. Let K H M, K is called ET-Coessential of H in M (K⊆ET.ce H), if . A submodule H is called ET- coclosed in M of H has no proper coessential submodule in M, we denote by (K⊆ET.cc H) , that is, K⊆ET.ce H implies that K = H. In our work, we introduce;some properties of ET-coessential and ET-coclosed submodules of M.
University of Baghdad College of Science
Title: ET-Coessential and ET-Coclosed submodules
Description:
Let M be an R-module, where R be a commutative;ring with identity.
In this paper, we defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of M.
Let T be a submodule of M.
Let K H M, K is called ET-Coessential of H in M (K⊆ET.
ce H), if .
A submodule H is called ET- coclosed in M of H has no proper coessential submodule in M, we denote by (K⊆ET.
cc H) , that is, K⊆ET.
ce H implies that K = H.
In our work, we introduce;some properties of ET-coessential and ET-coclosed submodules of M.
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