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Publication Date
Wed Mar 30 2022
Journal Name
Iraqi Journal Of Science
Volume
63
Issue Number
3
DOI
10.24996/ijs.2022.63.3.23
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Scopus (1)
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ijs-4308
On Annihilator-Extending Modules
Annihilator Essential submodules
Annihilator-closed submodules
Extending modules
Annihilator-Extending modules
Yousef A.
Sahira M.
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    Throughout this work we introduce the notion of Annihilator-closed submodules, and we give some basic properties of this concept. We also introduce a generalization for the Extending modules, namely Annihilator-extending modules. Some fundamental properties are presented as well as  we discuss the relation between this concept and some other related concepts.

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
Some Types of Mappings in Bitopological Spaces
Keywords. Filter base
nm- j-ω-converges
nm- j-ω-directed toward a set
nm- j-ω- closed mappings
j-ω- continuous mappings
j-ω-rigid a set
nm- j-ω-perfect mappings.
G. S.
Yousif
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            This work, introduces some concepts in bitopological spaces, which are nm-j-ω-converges to a subset, nm-j-ω-directed toward a set, nm-j-ω-closed mappings, nm-j-ω-rigid set, and nm-j-ω-continuous mappings. The mainline idea in this paper is nm-j-ω-perfect mappings in bitopological spaces such that n = 1,2  and m =1,2 n ≠ m. Characterizations concerning these concepts and several theorems are studied, where j = q , δ, a , pre, b, b.

 

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Scopus (5)
Crossref (3)
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Publication Date
Mon Aug 16 2021
Journal Name
Al-qadisiyah Journal Of Pure Science
Pairwise Lower Separation Axioms in C ̌ech Fuzzy Soft Bi-Closure Spaces
Fuzzy soft set
fuzzy soft closure operator
closed fuzzy soft set
fuzzy soft bitopological space
pairwise 〖 T〗_0
pairwise T_1
pairwise〖 T〗_2
pairwise semi〖 T〗_2
pairwise pseudo〖 T〗_2
pairwise Uryshon 〖 T〗_2.
Mohamad Th.
R. N.
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The idea of ech fuzzy soft bi-closure space ( bicsp) is a new one, and its basic features are defined and studied in [1]. In this paper, separation axioms, namely pairwise, , pairwise semi-(respectively, pairwise pseudo and pairwise Uryshon) - fs bicsp's are introduced and studied in both ech fuzzy soft bi-closure space and their induced fuzzy soft bitopological spaces. It is shown that hereditary property is satisfied for , with respect to ech fuzzy soft bi-closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ech fuzzy soft bi-closure space.

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Publication Date
Mon Jan 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
CONVERGENCES VIA ẛـ PREـ gـ OPEN SET
: Ideal
separation axioms
ẛ ـpre ـg ـopen set
ẛ ـpre ـg ـclosed set
ẛـpre ـgـ Convergent
ẛ ـpre ـg ـopen function
ẛ ـpre ـg ـcotinuous function.
Ahmed A.
R. B.
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   The main aim of this paper is to use the notion  which was introduced in [1], to offered new classes of separation axioms in ideal spaces. So, we offered new type of notions of convergence in ideal spaces via the set. Relations among several types of separation axioms that offered were explained.

 

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Crossref
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
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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