Department of Mathematics College of Science University of Baghdad , Baghdad, Baghdad, Iraq
Ahmed K. Mawlood, Nuhad S. Al-Mothafar
In this paper: This work studies the concept for P-essential coessential submodules and P-essentials coclosed sub - module that is over commutating ring with identity. Consider Q as S-module with V ≤ W ≤ Q, then V i...
Haider M. Ridha, Nuhad S. Al-Mothafar
In this paper: Let S be a commutative ring with identity and let U be an (left) unitary S-module (for brief S-mod). This paper presents a detail and study the concepts of purely small compressible (pu-s-comp) and pu...
Zainab T. Alzubiadey, Nuhad S. Al-Mothafar, Aseel Amer Hassan
In this paper: In this paper, we give a new generalization for important class in the category of modules. There are 2-purely extending and the direct sum of 2-purely extending R-modules. In this work, study the rel...
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
In this paper: This article primary goal is to introduce the idea of purely lifting module, after that we proved some properties of this concept the second aim is to studying relations among purely lifting module...
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
In this paper: In this work, we introduce the concept of a purely supplement submodule, also consider some properties of this idea, and investigate connections between purely supplement submodules and related ideas....
Rafid M. Al-Shibani, Iman A. Athab, Nuhad S. Al-Mothafar
In this paper: Suppose that D is an unitary module over a ring that is commutative F, with identity. A non-zero sub-module N of D called as nearly small semi-prime, if for every t ∈ F, m ∈ D,(m) be small of M and...
Raniah F. Bader, Nuhad S. Al-Mothafar
In this paper: The unitary left R-module F is defined in this article as a unity-commutative ring R. We introduce and discuss the idea of semi-hollow modules in this work. The notion of semi-hollow refers to a modul...
Nuhad S. Al-Mothafar, Zainab T. Alzubiadey
In this paper: In this work, we give a new generalization for two important classes in the category of modules. There are Rad-small and Rad-hollow R-module. In this work, some properties and results of these submodu...
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
In this paper: In this article, we present a notion such as purely supplement submodule, also consider some properties of this concept, and research some relationships between purely supplement submodules and some...
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
In this paper: In this article, the idea for this study is to present two concepts co-closed and purely co-essential sub-modules-that generalize co-closed and co-essential sub-modules. We study the relationship betw...
Halah Q. Hamdi, Nuhad S. Al-Mothafar
In this paper: D is a unitary left and R is an associative ring with identity. Module R. We call a sub-module C of an R-module D called purely-small (for short Pu-small), denoted by (C
Khawlah Ahmmed, Nuhad S. Al-Mothafar
In this paper: The goal of this discussion is to study the twigged of pure-small (pr-small) sub- moduleof a module W as recirculation of a small sub-module, and we give some basic idiosyncrasy and instances of this...
Iman A. Athab, Nuhad S. Al-Mothafar
In this paper: Suppose R has been an identity-preserving commutative ring, and suppose V has been a legitimate submodule of R-module W. A submodule V has been J-Prime Occasionally as well as occasionally based on wh...
Mohammed Baqer Hashim Al-Hakeem, Nuhad S. Al-Mothafar
In this paper: 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 sem...
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