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Publication Date
Sat Jun 27 2020
Journal Name
Iraqi Journal Of Science
Volume
61
Issue Number
6
DOI
10.24996/ijs.2020.61.6.24
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Scopus (6)
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ijs-1667
On Dense Subsemimodules and Prime Semimodules
Semimodule
Semiring
Dense subsemimodule
Invertible ideal
Prime semimodule
Dedekind semidomain
Ahmed H.
Asaad M. A.
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In this paper, we study the class of prime semimodules and the related concepts, such as the class of  semimodules, the class of Dedekind semidomains, the class of prime semimodules which is invariant subsemimodules of its injective hull, and the compressible semimodules. In order to make the work as complete as possible, we stated, and sometimes proved, some known results related to the above concepts.

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Crossref (2)
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Publication Date
Tue Oct 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
New Games via soft-I-Semi-g-Separation axioms
Soft ideal
Soft-T_i-space
Soft-I-semi-g-T_i-space
ÅžG(T_i
χ ) ŞG(T_i
I). Where i ={0
1
2}.
R.J.
R.B.
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In this article, the notions  are introduced by using soft ideal and soft semi-open sets, which are - - - -closed sets " -closed" where many of the properties of these sets are clarified. Some games by using soft- -semi, soft separation axioms: like ( 0   ( 0  Using many figures and proposition to study the relationships among these kinds of games with some examples are explained.

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Crossref (1)
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Publication Date
Wed Oct 20 2021
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Games with Soft -ᶅ-Pre-Generalized Open Sets
Soft ideal
Soft-Ʈ_i-space
Soft-ᶅ-pre-g-Ʈ_i-space
Şᶃ(Ʈ_i
Ó¼
ᶅ ). Where i= {0
1
2}
Hammood A.
Esmaeel R.
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    In this paper, the concept of soft closed groups is presented using the soft ideal pre-generalized open and soft pre-open, which are -ᶅ- - -closed sets " -closed", Which illustrating several characteristics of these groups.  We also use some games and   -  Separation Axiom, such as (Æ®0, Ó¼, ᶅ) that use many tables and charts to illustrate this. Also, we put some proposals to study the relationship between these games and give some examples.

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Crossref
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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