doi:10.24996/ijs.2019.60.12.23

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Publication Date

Sun Dec 29 2019

Journal Name

Iraqi Journal Of Science

Volume

60

Issue Number

12

DOI

10.24996/ijs.2019.60.12.23

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Semi-T-maximal sumodules

T-maximal submodule

Semi maximal

T-Radical

T-cosemisimple

Inaam M. A.

Alaa A.

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Let be a commutative ring with identity and be an -module. In this work, we present the concept of semi--maximal sumodule as a generalization of -maximal submodule.

We present that a submodule of an -module is a semi--maximal (sortly --max) submodule if is a semisimple -module (where is a submodule of ). We investegate some properties of these kinds of modules.

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Publication Date

Sun Jan 01 2023

Journal Name

Journal Of Discrete Mathematical Sciences And Cryptography

Semi-essentially prime modules

Nuhad

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Let R be a commutative ring with 1 and M be a (left) unitary R – module. This essay gives generalizations for the notions prime module and some concepts related to it. We termed an R – module M as semi-essentially prime if annR (M) = annR (N) for every non-zero semi-essential submodules N of M. Given some of their advantages characterizations and examples, and we study the relation between these and some classes of modules.

Publication Date

Mon Mar 01 2021

Journal Name

Journal Of Physics: Conference Series

J-semi regular modules

Lewaa R.

Wasan

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AbstractLet <italic>R</italic> be a ring with identity and let <italic>M</italic> be a left R-module. <italic>M</italic> is called J-semiregular module if every cyclic submodule of <italic>M</italic> is J-lying over a projective summand of <italic>M</italic>, The aim of this paper is to introduce properties of J-semiregular module Especially, we give characterizations of J-semiregular module. On the other hand, the notion of J-semi hollow modules is studied as a generalization of semi hollow modules, finally <italic>F</italic>-J-semiregular modules is studied as a generalization of <italic>F</italic>-semiregular modules. ... Show More

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Publication Date

Fri May 01 2020

Journal Name

Journal Of Physics: Conference Series

ESSENTIAL T-hollow-lifting module

Sahira M.

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AbstractLet M be a R-module, where R be a commutative ring with identity, In this paper, we defined a new kind of module namely ET-hollow lifting module, Let T be a submodule of M, M is called ET-hollow lifting module if for every sub-module H of M with <inline-formula> <tex-math><?CDATA $\frac{M}{H}$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mfrac> <mi>M</mi> <mi>H</mi> </mfrac> </mrow> </math></inline-formula> ... Show More

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Publication Date

Thu Jul 01 2021

Journal Name

Journal Of Physics: Conference Series

T-Small Quasi-Dedekind modules

Anfal Hasan

Suad Naji

Mukdad Qaess

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AbstractLet Q be a left Module over a ring with identity ℝ. In this paper, we introduced the concept of T-small Quasi-Dedekind Modules as follows, An R-module Q is T-small quasi-Dedekind Module if, <inline-formula> <tex-math><?CDATA $\forall \,w\,\in En{d}_{R}(Q),\,w\ne 0$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mo>∀</mo> <mspace width="0.25em"></mspace> <mi>w</mi> <mspace width="0.25em"></mspace> <mo></mo></mrow></math></inline-formula> ... Show More

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Publication Date

Mon Feb 01 2021

Journal Name

Journal Of Physics: Conference Series

Essential T-small quasi-Dedekind modules

Sahira M.

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AbstractLet M be an R-module, where R be a commutative; ring with identity. In this paper, we defined a new kind of submodules, namely T-small quasi-Dedekind module(T-small Q-D-M) and essential T-small quasi-Dedekind module(ET-small Q-D-M). Let T be a proper submodule of an R-module M, M is called an (T-small Q-D-M) if, for all f ∊ End(M), f ≠ 0, implies <italic>Kerf</italic> is an T-small submodule of M <italic>(Kerf</italic>«T <italic>M)</italic>, if T≠ 0 then T ⊈ <italic>Kerf</italic>. In case <italic>Kerf</italic> is an essential T-small submodule of M <italic>(Kerf <<</italic> ... Show More

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Publication Date

Sun Oct 03 2010

Journal Name

Baghdad Science Journal

On Semi-p-Compact Space

Suaad G

Nerjis Abdul Jabbar

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

On semi strongly (E, F)-convex functions and semi strongly (E, F)-convex optimization problems

Saba Naser

A A

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AbstractIn this paper, a new class of non-convex functions called semi strongly (<italic>E, F</italic>)-convex functions are presented. This class represents a natural extension of semi strongly <italic>E</italic>-convex functions shown in the literature. Different properties of this class of functions are discussed. Optimality properties of constrained optimization problems in which the objective function or the inequality constraints functions are semi strongly (<italic>E, F</italic>)-convex are proved for this class.

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Publication Date

Sat Jul 15 2023

Journal Name

Journal Of Interdisciplinary Mathematics

Some games via semi-generalized regular spaces

Games

Regular space

Sg open set

Semi-closed

SgR space

Sg continuous function

Afraa

M. A. Abdel

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In this research, a new application has been developed for games by using the generalization of the separation axioms in topology, in particular regular, Sg-regular and SSg- regular spaces. The games under study consist of two players and the victory of the second player depends on the strategy and choice of the first player. Many regularity, Sg, SSg regularity theorems have been proven using this type of game, and many results and illustrative examples have been presented

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Publication Date

Tue Oct 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Fuzzy Semi Pre Homeomorphism in Fuzzy Topological Spaces

Fuzzy topological spaces

fuzzy semi pre-open sets

fuzzy semi pre homeomorphism function and fuzzy semi pre* homeomorphism function.

Saleem

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The aim of this paper is to introduce and study new class of fuzzy function called fuzzy semi pre homeomorphism in a fuzzy topological space by utilizing fuzzy semi pre-open sets. Therefore, some of their characterization has been proved; In addition to that we define, study and develop corresponding to new class of fuzzy semi pre homeomorphism in fuzzy topological spaces using this new class of functions.

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Publication Date

Mon Jan 30 2023

Journal Name

Iraqi Journal Of Science

Utilization of Dynamical System on Enfolding Semi-group

Action function

Dynamical System

K- System

Enfolding semi-group

Ellis semi-group

Haider M.

Lieth A.

Ali Hassan Nasser

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In this paper, we use the definition of the action on the set of semi-group of the structure of this research .We introduce the concepts of -system which is a triple , , such that is a Hausdorff compact space called phase space, is a semi-group of transformations with a continuous action of on . We study and proof some theoretical properties related with that system. We also introduce the concept of Enfolding semi-group ( , ,and we prove that it is a compact right topological semi-group. In addition, we study the left and right ideals in the Enfolding semi-group. By using the dynamical system, we reflect various properties concerning with its structure for the Enfolding semi-group. Furthermore, we describe

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