Keywords : quasi


T-essentially Quasi-Dedekind modules

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2019, Volume 11, Issue 1, Pages 1-10

In this paper, we introduce and study type of modules namely (t-essentially quasi-Dedekind modules) which is generalization of quasi-Dedekind modules and essentially quasi-Dedekind module. Also, we introduce the class of t-essentially prime modules which contains the class of t-essentially quasiDedekind modules.

SOME RESULTS ABOUT CORETRACTABLE MODULES

Shukur Neamah Al-aeashi; Inaam Mohammed Ali Hadi

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2017, Volume 9, Issue 2, Pages 40-48

Throughout this paper, all rings have identities and all modules are unitary right modules. Let R be a ring and M an R-module. A module M is called coretractable if for each proper submodule N of M, there exists a nonzero homomorphism f from M/N into M. Our concern in this paper is to develop basic properties of coretractable modules and to look for any relations between coretractable modules and other classes of modules.

Rate of approximation of K-monotone functions in L_(ψ,p) (I) space , 0

Nada Zuhair Abd AL-Sada; Noor Hayder Abdul Ameer; Adel Salim Tayyah; Akeel Ramadan Mehdi; Dhurgham Aiham Kadhim Alshakarchi; Maytham Salman azeez; Emad Allawi Shallal; Saad Abdulkadhim Al-Saadi; Mehdi S. Abbas; Rana J.S. Al-janabi; Shroouq J.S. Al-janabi; Zinah Hussein Toman; Sarim H. Hadi; Noori F. AL-Mayahi; Ali Ayid Ahmad; Ahmed Chalak Shakir; Hassan Nadem Rasoul; Alaa Saleh Hadi; Ali Hassan Mohammed; Sara F. Hassan; Boushra Y. Hussein; Thekra Abbas; M.Nafea Jafaar; Hanadi A. AbdulSatter; Intisar Shadeed Al-Mejibli; Dhafar Hamed Abd Dhafar Hamed Abd; Salam Abdulkhaleq Noaman; Alaa H. Al-Muslimawi; Bashaeer K. Jassim; Haider Kadhim Hoomod; Intisar Al-Mejibli; Abbas Issa Jabboory; Farhan Dakhil Shyaa; Dhyaa Shaheed Al-Azzawy; Sinan Adnan Diwan; Ahmed Talip Hussein; Haider Jebur Ali; Habeeb Kareem Abdulla; Shatha S.Alhily

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2017, Volume 9, Issue 2, Pages 54-56

In this paper we shown that the relationship with the best algebraic approximation and K- monotone functions with bounded ( i ) such that (i

Keywords

Monotone functions
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approximation
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Modulus of smoothness.
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الدالة المتناوبة
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التقريب
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مقياس النعومة .

(Quasi-)Injective Extending Gamma Modules

Emad Allawi Shallal; Saad Abdulkadhim Al-Saadi; Mehdi S. Abbas

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2017, Volume 9, Issue 2, Pages 71-80

In this paper we introduce and study the concept of injective (Quasi-injective) extending gamma modules as a generalization of injective (Quasi-injective) gamma modules. An R_Γ-module E is called injective (Quasi-injective) extending gamma modules if each proper R_Γ-submodule in E is essential in injective (Quasi-injective) R_Γ-submodule of E. The concept of injective extending gamma modules lie between injective gamma modules and quasi-injective gamma modules.

SS-Injective Modules and Rings

Adel Salim Tayyah; Akeel Ramadan Mehdi

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2017, Volume 9, Issue 2, Pages 57-70

We introduce and investigate SS-injectivity as a generalization of both soc-injectivity and small injectivity. A right module M over a ring R is said to be SS-N-injective (where N is a right R-module) if every R-homomorphism from a semisimple small submodule of N into M extends to N. A module M is said to be SS-injective (resp. strongly SS-injective), if M is SS-R-injective (resp. SS-N-injective for every right R-module N). Some characterizations and properties of (strongly) SS-injective modules and rings are given. Some results on soc-injectivity are extended to SS-injectivity.

Small Quasi-Dedekind Modules

Inaam Mohammed Ali; Tha; ar Younis Ghawi

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2011, Volume 3, Issue 2, Pages 1-10

Let R be a commutative ring with unity .A unitary R-module M is called a quasi-Dedekind module if for all nonzero submodules N of M . In this paper we introduce and study the concept of small quasi-Dedekind module as a generalization of quasi-Dedekind module . Where an R-module M is called small quasi-Dedekind if, for each nonzero homomorphisms f from M to M , implies Kerf small in M ( Kerf ≪ M ). And an R-submodule N of an R-module M is called a small submodule of M (N ≪ M , for short) if , for all K ≤ M with N+K = M implies K = M