Weakly (resp., Closure, Strongly) Perfect Mappings

Y. Y. Yousif

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Publication Date

Tue Jan 01 2008

Journal Name

Al-mustansiriyah Journal Of Science

Volume

19

Issue Number

3

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Weakly (resp., Closure, Strongly) Perfect Mappings

weakly perfect mappings

closure perfect mappings

strongly perfect mappings.

Y. Y. Yousif

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In this paper the concepts of weakly (resp., closure, strongly) Perfect Mappings are defined and the important relationships are studied: (a) Comparison between deferent forms of perfect mappings. (b) Relationship between compositions of deferent forms of perfect mappings. (c) Investigate relationships between deferent forms of perfect mappings and their graphs mappings.

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Publication Date

Wed Jan 20 2021

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Weakly Nearly Prime Submodules

Weakly prime submodules

weakly nearly prime submodules

multiplication modules

finitely generated modules

Jacobson of a modules.

Ali

Haibat

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In this article, unless otherwise established, all rings are commutative with identity and all modules are unitary left R-module. We offer this concept of WN-prime as new generalization of weakly prime submodules. Some basic properties of weakly nearly prime submodules are given. Many characterizations, examples of this concept are stablished.

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Publication Date

Fri Jan 01 2010

Journal Name

Journal Of Collage Of Education

FILTER BASES AND ω-PERFECT FUNCTIONS

closure converge to a point

closure directed toward a set

almost ω-converges to a set

almost condensation point

ω-continuous functions

weakly ω-continuous functions

ω-compact functions

ω-rigid a set

almost ω-closed functions

ω-perfect functions.

Yousif Y.

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In this paper introduce some generalizations of some definitions which are, closure converge to a point, closure directed toward a set, almost ω-converges to a set, almost condensation point, a set ωH-closed relative, ω-continuous functions, weakly ω-continuous functions, ω-compact functions, ω-rigid a set, almost ω-closed functions and ω-perfect functions with several results concerning them.

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Publication Date

Tue Nov 01 2011

Journal Name

Australian Journal Of Basic And Applied Sciences

Closure Operators on Graphs

Closure operators

dense set

regular open set

near open sets

accuracy.

M.

Y. Y.

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The aim of this paper is to generate topological structure on the power set of vertices of digraphs using new definition which is Gm-closure operator on out-linked of digraphs. Properties of this topological structure are studied and several examples are given. Also we give some new generalizations of some definitions in digraphs to the some known definitions in topology which are Ropen subgraph, α-open subgraph, pre-open subgraph, and β-open subgraph. Furthermore, we define and study the accuracy of these new generalizations on subgraps and paths.

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Publication Date

Thu May 11 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On Weakly Quasi-Prime Module

Prime module

quasi-prime module

weakly quasi-prime module.

M. A.

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In this work we shall introduce the concept of weakly quasi-prime modules and give some properties of this type of modules.

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Publication Date

Wed Jul 01 2020

Journal Name

Journal Of Physics: Conference Series

Soft Closure Spaces

Shahad Thaar

Rasha Naser

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AbstractIn this paper, the concept of soft closure spaces is defined and studied its basic properties. We show that the concept soft closure spaces are a generalization to the concept of <italic>Č</italic>ech soft closure spaces introduced by Krishnaveni and Sekar. In addition, the concepts of subspaces and product spaces are extended to soft closure spaces and discussed some of their properties.

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Publication Date

Sun Jan 20 2019

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Strongly K-nonsingular Modules

: Modules

S-essential submodules

nonsingular modules

Strongly K-nonsigular modules.

Tha'ar Younis

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A submodule N of a module M is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential kernels, named, strongly -nonsigular. We investigate some properties of strongly -nonsigular modules. Direct summand, direct sums and some connections of such modules are discussed.

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Publication Date

Wed May 03 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Fixed Point Theorem for Uncommuting Mappings

G-metric space

orbitaliy complete

commuting mappings

common fixed point.

Salwa S.

Alaa

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In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

Weakly Small Smiprime Submodules

Nuhad

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AbstractLet <italic>R</italic> be a commutative ring with an identity, and <italic>G</italic> be a unitary left <italic>R</italic>-module. A proper submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is called semiprime if whenever <italic>a ∈ R, y ∈ G, n ∈ Z</italic> + and <italic>any ∈ H</italic>, then <italic>ay ∈ H</italic>. We say that a properi submodule <italic>H</italic> of an <italic>R</italic>-module <italic>G</italic> is a weakly small semiprime, if whenever <ita></ita> ... Show More

Publication Date

Wed Aug 09 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

On Weakly Prime Submodules

I. M.A.

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Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever r ïƒŽ R, x ïƒŽ M, 0 ï‚¹ r x ïƒŽ N implies x ïƒŽ N or r ïƒŽ (N:M). In fact this concept is a generalization of the concept weakly prime ideal, where a proper ideal P of R is called a weakly prime, if for all a, b ïƒŽ R, 0 ï‚¹ a b ïƒŽ P implies a ïƒŽ P or b ïƒŽ P. Various properties of weakly prime submodules are considered.

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Publication Date

Thu May 04 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Strongly (Comletely) Hollow Submodules I

Strongly (completely)-hollow submodules

distributive modules

multiplication (comultiplication) modules

scalar modules.

I. M. A.

Gh. A.

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Let R be a commutative ring with unity and let M be an R-module. In this paper we
study strongly (completely) hollow submodules and quasi-hollow submodules. We investigate
the basic properties of these submodules and the relationships between them. Also we study
the be behavior of these submodules under certain class of modules such as compultiplication,
distributive, multiplication and scalar modules. In part II we shall continue the study of these
submodules.

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