Department of Mathematics College of Science Mustansiriyah University, Baghdad, 10001, Iraq
Mustafa A. Aziz, Abdulqader Faris, Saad A. Al-Saadi
In this paper: In this work, we introduce the concept of fully pseudo-stable gamma acts as a generalization of fully stable gamma acts. We investigate various properties and characterizations of this class. In parti...
Shimaa M. Dawood, Saad A. Al-Saadi
In this paper: This work introduces and investigates a generalization of extending semimodules via weak-supplement subsemimodules. An S-semimodule L is called weakly-supplement extending (shortly, 𝓌𝓈e—semimodule) if...
Abdulqader Faris, Mustafa A. Aziz, Saad A. Al-Saadi
In this paper: This article introduces and studies the concept of congruence-injective S-act over monoids S as a new generalization of injectivity in act theory. This approach is based on congruence and extends the...
Abdulqader Faris, Saad A. Al-Saadi
In this paper: In this article, we introduce the notion of fully stable semiring. Several equivalent definitions of this concept exist, and numerous classical constructs satisfy a fully stable semiring, such as the...
Abbas Jabbar Naeemah, Saad A. Al-Saadi
In this paper: This work aims to introduce and explore the concept of SS-semimodules over semirings to generalize fully stable semimodules and duo semimodules. We call an S-semimodule C is SS-semimodule if every di...
Mehdi S. Abbas, Saad A. Al-Saadi, Abdulqader Faris
In this paper: In this paper, we interpose the notion tools, Noetherian gamma acts, and γ – idempotent elements, to describe gamma semigroups in which all gamma acts are quasi – injective. We get the following equi...
Abbas Jabbar Naeemah, Saad A. Al-Saadi
In this paper: In this work, the concept of strongly extending modules has been introduced for semimodules category. We call a semimodule C is strongly extending if for each subsemimodule A in C there is a stable di...
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