5 papers · 1 filter
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…
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…