Now showing items 1-20 of 21

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      Characterization of Weakly Primary Ideals over Non-commutative Rings

      Ashour, Arwa E.; Hamoda, Mohammad (Hikari, Ltd., 2014)
      In this paper, we introduce the concept of weakly primary ideals over non-commutative rings. Several results on weakly primary ideals over non-commutative rings are proved. We prove that a right (resp. left) weakly primary ...
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      On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings

      Ashour, Arwa E.; Al-Ashker, Mohammed M.; Subouh, Sana Y. (2020-02-03)
      Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal ...
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      On Almost 2-Absorbing Primary Sub-modules

      Ashour, Arwa E.; Naji, Osama A.; Al-Ashker, Mohammed M. (الجامعة الإسلامية - غزة, 2017)
      Let R be a commutative ring with identity and M be a unitary R-module, In this paper we introduce the concept of almost 2-absorbing primary sub-modules as a new generalization of 2-absorbing sub-modules. We study some basic ...
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      On graded n− absorbing submodules

      Hamoda, Mohammad; Ashour, Arwa E. (2015)
      Let G be a group with identity e. Let R be a G− graded commutative ring, M be a graded R− module and n be a positive integer. In this article, we introduce and study the concepts of graded n− absorbing submodules. Various ...
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      On n-primly ideals

      Ashour, Arwa E. (الجامعة الإسلامية - غزة, 2015)
      An ideal I is primal over a commutative ring R with non zero identity if the set of all elements that are not prime to I, forms an ideal of R. This definition was introduced by Ladislas Fuchs in 1950. In this paper, ...
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      ON PRIMARY COMPACTLY PACKED BEZOUT MODULES

      Ashour, Arwa E.; El-atrash, Mohammed S. (الجامعة الإسلامية - غزة, 2006)
      Many results are proved concerning primary compactly packed modules and primary radical submodules. We also generalize some results that were proved on S-closed subset of modules and prime submodules to Sclosed subset of ...
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      ON PRIMARY COMPACTLY PACKED MODULES

      Ashour, Arwa E.; El-atrash, Mohammed S. (الجامعة الإسلامية - غزة, 2005)
      ON PRIMARY COMPACTLY PACKED MODULES
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      On Primary Compactly Packed Modules over non commutative rings

      Ashour, Arwa E. (2011)
      This research considers three basic concepts concerning primary submodules, which are important, at least to some mathematicians. The first concept is the concept of primary radical of a submodule, the second concept is ...
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      On Weakly Almost Generalized 2-Absorbing Sub-modules of Modules

      Ashour, Arwa E. (الجامعة الإسلامية - غزة, 2017)
      Let M be a module over a commutative ring R with non-zero identity. A proper sub-module N of M is called weakly almost generalized 2-absorbing (denoted by WAG2 -absorbing) sub-module, if for  and with  either ...
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      On weakly primary submodules

      Ashour, Arwa E. (2011)
      Let R be a commutative ring with non-zero identity. A proper submodule N of an R-module M is weakly primary if
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      On Weakly Primary Subtractive Ideals over Noncommutative Semirings

      Ashour, Arwa E.; Abedrabou, Samia Saeed Alazab; Hamoda, Mohammad (2012)
      In this paper, we study the concept of weakly primary subtractive ideals over arbitrary semirings. We extend some results of [3] to noncommutative semirings with 1= 0. Some properties of weakly primary subtractive ideals ...
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      primal hyperideal of multiplicative hyperrings

      Al-Ashker, Mohammed M.; ashour, Arwa; Sabouh, Sanna (Palestine journal of mathematics1, 2021-01-04)
      Abstract In this paper, we introduce the concepts of adjoint, n-adjoint of a hyperideals and primal and n-primly hyperideals of a commutative multiplicative hyperrings. Many results con- cerning prime, n-primly, primary ...
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      Primary Finitely Compactly Packed Modules and S-Avoidance Theorem for Modules

      Ashour, Arwa E. (The Scientific and Technological Research Council of Turkey, 2008)
      In this paper we introduce the concept of primary finitely compactly packed modules, which generalizes the concept of primary compactly packed modules. We first find the conditions that make the primary finitely compactly ...
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      Primary Ideals and Primary Modules over Noncommutative Rings

      Ashour, Arwa E. (2010)
      The concepts of prime ideals and prime modules were introduced over noncommutative rings. In this article we generalize these concepts and introduce the concepts of primary ideals and primary modules over noncommutative ...
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      Primary Ideals of Lie Algebras

      Ashour, Arwa; AL-Ashker, Mohammed M.; AL-Aydi, Mohammed A. (palestine journal of mathematics, 2021-01-11)
      In this paper, we introduce and advance the basic theory of primary ideals for Lie algebras and investigate their properties in details illustrated by several examples. We give some characterizations for ideals to be primary ...
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      Primary Rimary Finitely Compactly Packed Modules And Dauns-Primary Submodules Over Noncommutative Rings

      Ashour, Arwa E. (الجامعة الإسلامية-غزة. شؤون البحث العلمي, 2012)
      In this paper we generalize the concept of primary finitely compactly packed modules over noncommutative rings. This concept generalizes the concepts of primary compactly packed modules over noncommutative rings, and primary ...
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      Valuation and Discrete Valuation Codes

      Hosseinyazdi, M; Ashour, Arwa E. (2012)
      In this paper we defined codes over a finitely generated commutative valuation rings. First we defined field encoding and after that defined valuation code over valuation rings and discrete valuation code over discrete ...
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      Weakly Primary Submodules over Noncommutative Rings

      Hamoda, Mohammad; Ashour, Arwa E. (2016)
      Let R be an associative ring with nonzero identity and let M be a unitary left R− module. In this paper, we introduce the concept of weakly primary submodules of M and give some basic properties of these classes of submodules. ...
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      المثاليات والمقاسات الإبتدائية المعرفة على الحلقات غير الإبدالية

      Ashour, Arwa E. (الجامعة الإسلامية - غزة, 2010)
      The concepts of prime ideals and prime modules were introduced over noncommutative rings. In this article we generalize these concepts and introduce the concepts of primary ideals and primary modules over noncommutative ...
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      المقاسات الابتدائية المحزومة الرص المعرفة على الحلقات غير الابدالية

      Ashour, Arwa E. (الجامعة الإسلامية - غزة, 2012)
      In this paper we generalize the concept of primary finitely compactly packed modules over noncommutative rings. This concept generalizes the concepts of primary compactly packed modules over noncommutative rings, and primary ...