Preferred Language
Articles
/
2ReSfY8BVTCNdQwC1nmF
Semi-Small Compressible Modules and Semi-Small Retractable Modules
...Show More Authors

Let  be a commutative ring with 1 and  be left unitary  . In this paper we introduced and studied concept of semi-small compressible module (a     is said to be semi-small compressible module if  can be embedded in every nonzero semi-small submodule of . Equivalently,  is  semi-small compressible module if there exists a monomorphism  , ,     is said to be semi-small retractable module if  , for every non-zero  semi-small sub module in . Equivalently,  is semi-small retractable if there exists a homomorphism  whenever  .     In this paper we introduce and study the concept of semi-small compressible and semi-small retractable s as a generalization of compressible  and retractable  respectively and give some of their advantages characterizations and examples.  

Crossref
Publication Date
Tue Jan 01 2013
Journal Name
International Journal Of Algebra
Fully extending modules
...Show More Authors

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.

View Publication Preview PDF
Crossref (2)
Crossref
Publication Date
Sun May 01 2022
Journal Name
Journal Of Physics: Conference Series
D_j -Supplemented Modules
...Show More Authors

Scopus
Publication Date
Fri Jan 01 2010
Journal Name
Iraqi Journal Of Science
PRIME HOLLOW MODULES
...Show More Authors

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.

View Publication Preview PDF
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
⊕-Rad -supplemented modules
...Show More Authors

Publication Date
Thu Oct 16 2014
Journal Name
Journal Of Advances In Mathematics
Strongly Rickart Modules
...Show More Authors

View Publication Preview PDF
Publication Date
Tue Jan 01 2002
Journal Name
Iraqi Journal Of Science
Special selfgenerator Modules
...Show More Authors

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.

Preview PDF
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
⊕-J-supplemented modules
...Show More Authors

Scopus (1)
Scopus
Publication Date
Sun Sep 03 2017
Journal Name
Baghdad Science Journal
CL-duo modules
...Show More Authors

In this paper, we introduce and study a new concept (up to our knowledge) named CL-duo modules, which is bigger than that of duo modules, and smaller than weak duo module which is given by Ozcan and Harmanci. Several properties are investigated. Also we consider some characterizations of CL-duo modules. Moreover, many relationships are given for this class of modules with other related classes of modules such as weak duo modules, P-duo modules.

View Publication Preview PDF
Scopus (4)
Crossref (1)
Scopus Crossref
Publication Date
Mon Jan 01 2024
Journal Name
Fifth International Conference On Applied Sciences: Icas2023
Ejectivity and goldie-extending modules
...Show More Authors

View Publication
Scopus Crossref
Publication Date
Mon Aug 01 2022
Journal Name
Baghdad Science Journal
Semihollow-Lifting Modules and Projectivity
...Show More Authors

Throughout this paper, T is a ring with identity and F is a unitary left module over T. This paper study the relation between semihollow-lifting modules and semiprojective covers. proposition 5 shows that If T is semihollow-lifting, then every semilocal T-module has semiprojective cover. Also, give a condition under which a quotient of a semihollow-lifting module having a semiprojective cover. proposition 2 shows that if K is a projective module. K is semihollow-lifting if and only if For every submodule A of K with K/( A) is hollow, then K/( A) has a semiprojective cover.

View Publication Preview PDF
Scopus (2)
Scopus Clarivate Crossref