Department of Mathematics College of Education Mustansiriyah University, Baghdad, Iraq
Sura Ahmed Saeed, Mahdi Saleh Nayef
In this paper: The first aim of this study is to generalize the concept of a Duo-module, introducing the Rational Closed Duo Module (RC-DU-module). The second aim is to discuss its relationship with other concepts a...
Zahra Moaed Abd Al-Majeed, Zainab Raad Shaker, Mahdi Saleh Nayef
In this paper: The main purpose for this work, we introduce and study a concept for pure rationally extending modules on the class of rationally extending modules by using pure submodules and direct summands. This p...
Zahraa Abbas Fadel, Mahdi Saleh Nayef
In this paper: This paper investigates the concept of annihilator essential injectivity in the setting of R-modules, where R is unital ring. An R-module M2 is termed annihilator essentially M1-injective if every R-h...
Mahdi Saleh Nayef, Duaa Hussein Wareed
In this paper: The main objective of this work is to present and study a new generalization of annihilator maximal sub modules that is small annihilator maximal sub modules. We are investigated the relationship betw...
Zaid Abdulaziz Abdulrazzaq, Mahdi Saleh Nayef, Mohamed Hbaib
In this paper: In our research paper, we will introduce some classes of modules named (semi-continuous modules and quasi-semi-continuous modules) (briefly, SECO-modules and Q-SECO-modules), which are proper general...
Mahdi Saleh Nayef, Zahra Moaed Abd Al-Majeed, Zainab Raad Shaker, Alaa Sabeeh Dawood
In this paper: It is known that the topic of extending module has been addressed by many researchers. In this work, we will focus on studying and presenting a new class of modules namely, supplement t-extending whic...
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