(𝝁∗- Essential Lifting Modules)
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Annihilator Essential Submodules
Abstract<p>Through this paper R represent a commutative ring with identity and all R-modules are unitary left R-modules. In this work we consider a generalization of the class of essential submodules namely annihilator essential submodules. We study the relation between the submodule and his annihilator and we give some basic properties. Also we introduce the concept of annihilator uniform modules and annihilator maximal submodules.</p>
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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Publication Date
Thu Oct 16 2014
Journal Name
Journal Of Advances In Mathematics
Strongly Rickart Modules
Strongly Rickart module
Rickart module
strongly CS-Rickart module
CS-Rickart module
Publication Date
Tue Jan 01 2002
Journal Name
Iraqi Journal Of Science
Special selfgenerator Modules
Let R be a commutative ring with identity, and let M be a unitary left R-module. M is called special selfgenerator or weak multiplication module if for each cyclic submodule Ra of M (equivalently, for each submodule N of M) there exists a family {fi} of endomorphism of M such that Ra = ∑_i▒f_i (M) (equivalently N = ∑_i▒f_i (M)). In this paper we introduce a class of modules properly contained in selfgenerator modules called special selfgenerator modules, and we study some of properties of these modules.
Publication Date
Tue Jan 01 2002
Journal Name
Iraqi Journal Of Science
On Regular Modules
Let R be a commutative ring with identity, and let M be a unitary left R-module. M is called Z-regular if every cyclic submodule (equivalently every finitely generated) is projective and direct summand. And a module M is F-regular if every submodule of M is pure. In this paper we study a class of modules lies between Z-regular and F-regular module, we call these modules regular modules.
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
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Publication Date
Sun May 01 2022
Journal Name
Journal Of Physics: Conference Series
Publication Date
Fri Jan 01 2010
Journal Name
Iraqi Journal Of Science
PRIME HOLLOW MODULES
Hollow Modules
Prime Submodules
Prime Hollow Modules
A non-zero module M is called hollow, if every proper submodule of M is small. In this work we introduce a generalization of this type of modules; we call it prime hollow modules. Some main properties of this kind of modules are investigated and the relation between these modules with hollow modules and some other modules are studied, such as semihollow, amply supplemented and lifting modules.
Publication Date
Tue Jan 01 2013
Journal Name
International Journal Of Algebra
Fully extending modules
Closed submodules
Quasi closed submodules
Extending modules
Fully extending modules
Strongly extending modules
Modules has SIP
property
Throughout this paper we introduce the concept of quasi closed submodules which is weaker than the concept of closed submodules. By using this concept we define the class of fully extending modules, where an R-module M is called fully extending if every quasi closed submodule of M is a direct summand.This class of modules is stronger than the class of extending modules. Many results about this concept are given, also many relationships with other related concepts are introduced.
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