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Coprime Submodules
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  Let R be a commutative ring with unity and let M be a unitary R-module. Let N be a proper submodule of M, N is called a coprime submodule if   is a coprime R-module, where   is a coprime R-module if for any r  R, either O      r or     r .         In this paper we study coprime submodules and give many properties related with this concept.

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Publication Date
Tue Feb 01 2022
Journal Name
Baghdad Science Journal
Kinetic, Isotherm, and Thermodynamic Study of Bismarck Brown Dye Adsorption onto Graphene Oxide and Graphene Oxide-Grafted-Poly (n-butyl methacrylate-co-methacrylic Acid)
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The adsorption behavior of Bismarck brown (BB) dye from aqueous solutions onto graphene oxide GO and graphene oxide-g-poly (n-butyl methacrylate-co-methacrylic acid) GO-g-pBCM as adsorbents was investigated. The prepared GO and GO-g-pBCM were characterized by Fourier transform infrared spectroscopy FTIR, which confirmed the compositions of the prepared adsorbents. Adsorption of BB dye onto GO and GO-g-pBCM was explored in a series of batch experiments under various conditions. The data were examined utilizing Langmuir and Freundlich isotherms. The Langmuir isotherm was seen as increasingly reasonable from the experimental information of dye on formulating adsorbents. Kinetic investigations showed that the experimental data were fitted ve

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Publication Date
Fri Jun 30 2023
Journal Name
Iraqi Journal Of Science
Characteristic Zero Resolution (Lascoux Resolution) of Weyl Module in the Case of the Skew- Partition (11, 7, 5)/ (1, 1, 1)
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In this paper, the terms of Lascoux and boundary maps for the skew-partition (11,7,5) / (1,1,1) are found by using the Jacobi-Trudi matrix of partition. Further, Lascoux resolution is studied by using a mapping Cone without depending on the characteristic-free resolution of the Weyl module for the same skew-partition.

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Publication Date
Fri Mar 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Complex of Lascoux in Partition (3,3,2)
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In this paper, the complex of Lascoux in the case of partition (3,3,2) has been studied by using diagrams ,divided power of the place polarization ) (k ij ,Capelli identites and the idea of mapping Cone .

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Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Orthogonal Derivations and Orthogonal Generalized Derivations on - Modules
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Let M be ,-ring and X be ,M-module, Bresar and Vukman studied orthogonal
derivations on semiprime rings. Ashraf and Jamal defined the orthogonal derivations
on -rings M. This research defines and studies the concepts of orthogonal
derivation and orthogonal generalized derivations on ,M -Module X and introduces
the relation between the products of generalized derivations and orthogonality on
,M -module.

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Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
Application of Two Rowed Weyl Module in the Case of Partition (6, 6)/(1,U) when U= 0,1
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The main aim of this paper is to study the application of Weyl module resolution in the case of two rows, which will be specified in the skew- partition (6, 6)/(1,1) and (6,6)/(1,0), by using the homological Weyl (i.e. the contracting homotopy and place polarization).

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Publication Date
Sun Apr 26 2020
Journal Name
Iraqi Journal Of Science
The The Resolution of Weyl Module for Two Rows in Special Case of the Skew-Shape
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     The aim of this work is to survey the two rows resolution of Weyl module and locate the terms and the exactness of the Weyl Resolution in the case of skew-shape (8,6)/(2,1).

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Publication Date
Sun Dec 09 2018
Journal Name
Baghdad Science Journal
On Free Resolution of Weyl Module and Zero Characteristic Resolution In The Case of Partition (8,7,3)
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Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
Application of Two Rowed Weyl Module in the Case of Partition (7,6) and Skew- Partition (7,6)/(1,0)
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The aim of this work is to study the application of Weyl module resolution in the case of two rows, which will be specified in the partition (7, 6) and skew- partition (7,6)/(1,0)  by using the homological Weyl (i.e. the contracting homotopy and place polarization).

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Publication Date
Thu May 28 2020
Journal Name
Iraqi Journal Of Science
Application of the Two Rowed Weyl Module in the Case of Partitions (7,7) and (7, 7) / (1, 0)
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The purpose of this paper is to study the application of Weyl module’s resolution in the case of two rows which will be specified in the partitions (7, 7) and (7, 7) / (1, 0), using the homological Weyl (i.e. the contracting homotopy and place polarization).

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Scopus (3)
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Publication Date
Fri Jan 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Almost and Strongly Almost Approximately Nearly Quasi Compactly Packed Modules
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In this paper, we present the almost approximately nearly quasi compactly packed (submodules) modules as an application of the almost approximately nearly quasiprime submodule. We give some examples, remarks, and properties of this concept. Also, as the strong form of this concept, we introduce the strongly, almost approximately nearly quasi compactly packed (submodules) modules. Moreover, we present the definitions of almost approximately nearly quasiprime radical submodules and almost approximately nearly quasiprime radical submodules and give some basic properties of these concepts that will be needed in section four of this research. We study these two concepts extensively.

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