7 papers
Uniformly S-essential submodules and uniformly S-injective uniformly S-envelopes
Mohammad Adarbeh, Mohammad Saleh
In this paper, we introduce the notion of uniformly S-essential (u-S-essential) submodules. Let R be a commutative ring, S a multiplicative subset of R, and M an R-module. A submod…
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…
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…
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…
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…
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…