Preferred Language
Articles
/
yhfEC5IBVTCNdQwC4Z0C
SOME CLASSAS OF FULL STABLITY BANACH ALGEBRA MODULES
...Show More Authors

The research is an article that teaches some classes of fully stable Banach - Å modules. By using Unital algebra studies the properties and characterizations of all classes of fully stable Banach - Å modules. All the results are existing, and they've been listed to complete the requested information.

Publication Date
Wed Jan 01 2014
Journal Name
International Mathematical Forum
Coextending modules
...Show More Authors

Throughout this paper we introduce the notion of coextending module as a dual of the class of extending modules. Various properties of this class of modules are given, and some relationships between these modules and other related modules are introduced.

View Publication Preview PDF
Crossref
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
Sun Jun 02 2019
Journal Name
Baghdad Science Journal
Properties of a Complete Fuzzy Normed Algebra
...Show More Authors

          The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy normed algebra  with identity  and  is an ideal in  is given. Moreover the proof of the resolvent set of a non zero element in complete fuzzy normed space is equal to the set of complex numbers is given. Finally basic properties of the resolvent space of a complete fuzzy normed algebra is given.

View Publication Preview PDF
Scopus (2)
Crossref (2)
Scopus Clarivate Crossref
Publication Date
Sun Jun 01 2014
Journal Name
Baghdad Science Journal
On Min - Cs Modules and Some Related Concepts
...Show More Authors

Our aim in this paper is to study the relationships between min-cs modules and some other known generalizations of cs-modules such as ECS-modules, P-extending modules and n-extending modules. Also we introduce and study the relationships between direct sum of mic-cs modules and mc-injectivity.

View Publication Preview PDF
Crossref
Publication Date
Sun Dec 04 2011
Journal Name
Baghdad Science Journal
Approximate Regular Modules
...Show More Authors

There are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse. In this work, we introduced and studied the approximately regular modules, as well as many properties and characterizations are considered, also we study the relation between them by using approximately pointwise-projective modules.

View Publication Preview PDF
Crossref
Publication Date
Sun Dec 02 2012
Journal Name
Baghdad Science Journal
Semi – Bounded Modules
...Show More Authors

Let R be a commutative ring with identity, and let M be a unity R-module. M is called a bounded R-module provided that there exists an element x?M such that annR(M) = annR(x). As a generalization of this concept, a concept of semi-bounded module has been introduced as follows: M is called a semi-bounded if there exists an element x?M such that . In this paper, some properties and characterizations of semi-bounded modules are given. Also, various basic results about semi-bounded modules are considered. Moreover, some relations between semi-bounded modules and other types of modules are considered.

View Publication Preview PDF
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
Publication Date
Sat Feb 15 2025
Journal Name
Experimental And Theoretical Nanotechnology
Analysis of applications of Banach fixed point theorem
...Show More Authors

In the context of normed space, Banach's fixed point theorem for mapping is studied in this paper. This idea is generalized in Banach's classical fixed-point theory. Fixed point theory explains many situations where maps provide great answers through an amazing combination of mathematical analysis. Picard- Lendell's theorem, Picard's theorem, implicit function theorem, and other results are created by other mathematicians later using this fixed-point theorem. We have come up with ideas that Banach's theorem can be used to easily deduce many well-known fixed-point theorems. Extending the Banach contraction principle to include metric space with modular spaces has been included in some recent research, the aim of study proves some pro

... Show More
View Publication
Scopus Crossref
Publication Date
Thu Sep 13 2018
Journal Name
Baghdad Science Journal
St-Polyform Modules and Related Concepts
...Show More Authors

In this paper, we introduce a new concept named St-polyform modules, and show that the class of St-polyform modules is contained properly in the well-known classes; polyform, strongly essentially quasi-Dedekind and ?-nonsingular modules. Various properties of such modules are obtained. Another characterization of St-polyform module is given. An existence of St-polyform submodules in certain class of modules is considered. The relationships of St-polyform with some related concepts are investigated. Furthermore, we introduce other new classes which are; St-semisimple and ?-non St-singular modules, and we verify that the class of St-polyform modules lies between them.

View Publication Preview PDF
Scopus (8)
Scopus Clarivate Crossref
Publication Date
Tue Jan 01 2019
Journal Name
Italian Journal Of Pure And Applied Mathematics
Co-small monoform modules
...Show More Authors

he concept of small monoform module was introduced by Hadi and Marhun, where a module U is called small monoform if for each non-zero submodule V of U and for every non-zero homomorphism f ∈ Hom R (V, U), implies that ker f is small submodule of V. In this paper the author dualizes this concept; she calls it co-small monoform module. Many fundamental properties of co-small monoform module are given. Partial characterization of co-small monoform module is established. Also, the author dualizes the concept of small quasi-Dedekind modules which given by Hadi and Ghawi. She show that co-small monoform is contained properly in the class of the dual of small quasi-Dedekind modules. Furthermore, some subclasses of co-small monoform are investiga

... Show More
View Publication Preview PDF
Scopus