Title of article
Some New Results on Regular Module
Author/Authors
Oftadeh, L Payame Noor University , Amiri, N Payame Noor University
Pages
8
From page
1
To page
8
Abstract
The aim of this paper is to study unitary regular modules on
commutative rings with identity. Regularity accompanied by cocyclic
property results in some prime-related conclusions on both modules
and rings. Further to this, regularity addresses also radical property of
submodules and they are related closely. This property not only affects
the modules on ring R but also restricts R to totally idempotent one.
Keywords
Isolated submodule , Primitive submodule , Prime submodule , Pure submodule , Regular module
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2021
Record number
2688315
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