collaborators

6 papers

math.AC2025

Uniformly S-pseudo-projective modules

Mohammad adarbeh, Mohammad Saleh

In this paper, we introduce the notion of uniformly S-pseudo-projective (u-S-pseudo-projective) modules as a generalization of u-S-projective modules. Let R be a ring and S a multi…

math.AC2025

On 1-absorbing prime and weakly 1-absorbing prime subsemimodules

Mohammad adarbeh, Mohammad Saleh

In this paper, we introduce the concepts of 1-absorbing prime and weakly 1-absorbing prime subsemimodules over commutative semirings. Let S be a commutative semiring with 1 \neq 0…

math.AC2025

Uniformly S-pseudo-injective modules

Mohammad Adarbeh, Mohammad Saleh

This paper introduces the notion of uniformly-S-pseudo-injective (u-S-pseudo-injective) modules as a generalization of u-S-injective modules. Let R be a ring and S a multiplicative…

math.AC2025

Uniformly S-projective relative to a module and its dual

Mohammad Adarbeh, Mohammad Saleh

In this article, we introduce the notion of uniformly S-projective (u-S-projective) relative to a module. Let S be a multiplicative subset of a ring R and M an R-module. An R-modul…

math.GR2025

On Cellular Automata

Tawfiq Hamed, Mohammad Saleh

Cellular automata are a fundamental computational model with applications in mathematics, computer science, and physics. In this work, we explore the study of cellular automata to…

math.RA2024

Further Notes on Tightness

Nasief Khlaif, Mohammad Saleh

Tight and essentially tight modules generalize weakly injective modules. Essential tightness requires embeddings to be essential. This restriction makes the two notions totally dif…