Galoitica: Journal of Mathematical Structures and Applications

Journal DOI

https://doi.org/10.54216/GJSMA

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2834-5568ISSN (Online)

Some Results about Cauchy Improper Integral

Arwa Hajjari

The objective of this paper is to estimate the value of∫_(-1)^1〖f(x)/(x-t)^m  dx ;m∈N〗 where f is convex from above and ∫_0^δ〖w(f^((m-1) ),x)/x dx<∞; fis bounded in C^((m-1) ) [-1,1].

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Doi: https://doi.org/10.54216/GJMSA.010201

Vol. 1 Issue. 2 PP. 08-10, (2022)

A Short Contribution to the Extension of the Group C(n)

Maretta Sarkis

In this work, we study the extension problem of a group with type C(n)=∑_(i∈I) C_P^∞  by using a cyclic group of order p. Also, we prove the following two results: 1-) The group C(n)  has only one extension which is compatible with R_3. 2-) The group C(n) has two extensions which are compatible with R_2.

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Doi: https://doi.org/10.54216/GJMSA.010202

Vol. 1 Issue. 2 PP. 11-12, (2022)

On Some Results about Finite Non Simple Groups

A. Alrida Basheer , Oliver V. Shtawzen , Maretta Sarkis , Rozina Ali

This paper is dedicated to study some properties of finite groups, where we present the following results: 1) If all centralizers of a group G are cyclic, then G is not simple. 2) If the center of the subgroup A is not trivial and B is cyclic, then G=AB is not simple. On the other hand, we define the m-solvable groups, and we examine some of their elementary properties.

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Doi: https://doi.org/10.54216/GJMSA.010203

Vol. 1 Issue. 2 PP. 13-16, (2022)

A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry

Ahmed A. Salama , Malath F Alaswad , Rasha Dallah , Rozina Ali

In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.

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Doi: https://doi.org/10.54216/GJMSA.010204

Vol. 1 Issue. 2 PP. 17-26, (2022)

A Study of Neutrosophic Bernoulli's and Recati Differential Equations

Ahmed A. Salama , Malath F Alaswad , Rasha Dallah , Rozina Ali

In this paper, we study the neutrosophic Bernouli and Ricatti differential equations by using one dimensional AH-isometry. Also, we illustrate many examples to clarify the validity of our work.

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Doi: https://doi.org/10.54216/GJMSA.010205

Vol. 1 Issue. 2 PP. 27-40, (2022)