Strongly (Comletely) Hollow Submodules I

I. M. A. Hadi; Gh. A. Humod

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Publication Date

Thu May 04 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Volume

25

Issue Number

3

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Strongly (Comletely) Hollow Submodules I

Strongly (completely)-hollow submodules

distributive modules

multiplication (comultiplication) modules

scalar modules.

I. M. A. Hadi

Gh. A. Humod

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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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Publication Date

Fri Jan 01 2010

Journal Name

Journal Of Collage Of Education

Some Generalizations of Continuity Functions

w-weakly continuous functions

w-closure continuous functions

w-strongly continuous functions.

Yousif Y.

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In this paper we define and study new generalizations of continuous functions namely, -weakly (resp., w-closure, w-strongly) continuous and the main properties are studies: (a) If f : X®Y is w-weakly (resp., w-closure, w-strongly) continuous, then for any AÌX and any BÌY the restrictions fïA : A®Y and fB : f -1(B)®B are w-weakly (resp., w-closure, w-strongly) continuous. (b) Comparison between deferent forms of generalizations of continuous functions. (c) Relationship between compositions of deferent forms of generalizations of continuous functions. Moreover, we expanded the above generalizations and namely almost w-weakly (resp., w-closure, w-strongly) continuous functions and we state and prove several results concerning it.

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Publication Date

Wed Dec 01 2021

Journal Name

Baghdad Science Journal

Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces

Fuzzy compact linear operator

Fuzzy convergence sequence of operators

Standard fuzzy normed spaces

Strongly fuzzy convergent

Weakly fuzzy convergent

Raghad

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The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts. Firstly, the definition of weak fuzzy convergence sequence in terms of fuzzy bounded linear functional is given. Then the notions of weakly and strongly fuzzy convergence sequences of operators are introduced and essential theorems related to these concepts are proved. In particular, if ( ) is a strongly fuzzy convergent sequence with a limit where linear operator from complete standard fuzzy normed space into a standard fuzzy normed space then belongs to the set of all fuzzy bounded linear operators

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(3)

Publication Date

Sat Mar 04 2023

Journal Name

Baghdad Science Journal

Nordhaus-Gaddum Type Relations on Open Support Independence Number of Some Path Related Graphs Under Addition and Multiplication

Derived graphs

Nordhaus-Gaddum type relations

Open support independence number

Open support independence number under addition

Open support independence number under multiplication

T. MARY

K.

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In this paper, Nordhaus-Gaddum type relations on open support independence number of some derived graphs of path related graphs under addition and multiplication are studied.

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Publication Date

Wed Jan 20 2021

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Î±g_á»Š-open sets and Î±g_á»Š-functions

Î±g_á»Š-closed set

Î±g_á»Š O-functions

Î±g_á»Š C-functions

Î±g_á»Š-continuous function

Strongly Î±g_á»Š-continuous function

Î±g_á»Š-irresolute function

ideal.

Sufyan

R.

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The objective of this paper is to show modern class of open sets which is an -open. Some functions via this concept were studied and the relationships such as continuous function strongly -continuous function -irresolute function -continuous function.

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Publication Date

Sun Feb 02 2020

Journal Name

University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics

Some Types of Perfect Mappings

j-perfect mappings

j-ω-perfect mappings

-ω-perfect mappings

weakly -ω-perfect mappings

strongly-ω-perfect mappings

nm- j-ω-converges to a subset

nm- j-ω-directed toward a set

nm- j-ω-closed mappings

nm- j-ω-rigid set

nm- j-ω-continuous mappings

nm- j-ω-perfect mappings in bitopological.

GHIDAA SADOON

Y. Y.

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The aims of this thesis are to study the topological space; we introduce a new kind of perfect mappings, namely j-perfect mappings and j-ω-perfect mappings. Furthermore, we devoted to study the relationship between j-perfect mappings and j-ω-perfect mappings. Finally, certain theorems and characterization concerning these concepts are studied. On the other hand, we studied weakly/ strongly forms of ω-perfect mappings, namely -ω-perfect mappings, weakly -ω-perfect mappings and strongly-ω-perfect mappings; also, we investigate their fundamental properties. We devoted to study the relationship between weakly -ω-perfect mappings and strongly -ω-perfect mappings. As well as, some new generalizations of some definitions wh

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