Results 31 to 40 of about 3,083 (173)
, 2021 Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules.
Haider A. Ramadhan, N. S. A. Mothafar
semanticscholar +1 more source
Prime and semiprime submodules of Rn and a related Nullstellensatz for Mn(R)
Journal of Algebra and its Applications, 2021 Let [Formula: see text] be a commutative ring with [Formula: see text] and [Formula: see text] a natural number. We say that a submodule [Formula: see text] of [Formula: see text] is semiprime if for every [Formula: see text] such that [Formula: see text]
J. Cimprič
semanticscholar +1 more source
On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings
Journal of New Theory, 2022 The algebraic properties and identities of a semiprime ring are investigated with the help of the multiplicative (generalised)-(α, α)-reverse derivation on the non-empty ideal of the semiprime ring.
Neşet Aydın +2 more
doaj +1 more source
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
openaire +3 more sources
Graded semiprime multiplication modules
, 2021 Let M be a G-graded R-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded R-module M is said to be graded semiprime multiplication if M has no graded semiprime R-submodules or for every graded semiprime ...
R. Abu-Dawwas
semanticscholar +1 more source
[Retracted] Approximations of Intuitionistic Fuzzy Ideals over Dual Spaces by Soft Binary Relations
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The major advantage of this proposed work is to investigate roughness of intuitionistic fuzzy subsemigroups (RIFSs) by using soft relations. In this way, two sets of intuitionistic fuzzy (IF) soft subsemigroups, named lower approximation and upper approximation regarding aftersets and foresets, have been introduced.
Muhammad Zishan Anwar +4 more
wiley +1 more source
Cryptographic Accumulator and Its Application: A Survey
Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022 Since the concept of cryptographic accumulators was first proposed in 1993, it has received continuous attention from researchers. The application of the cryptographic accumulator is also more extensive. This paper makes a systematic summary of the cryptographic accumulator.
Yongjun Ren +5 more
wiley +1 more source
2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley +1 more source
Strongly semiprime rings [PDF]
Pacific Journal of Mathematics, 1975 For a ring with 1, we show that every proper kernel functor generates a proper torsion radical if and only if the ring is a finite subdirect product of strongly prime (also called ATF) rings. This is equivalent to every essential right ideal containing a finite set whose right annihilator is zero.
openaire +2 more sources
On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]
Journal of Hyperstructures, 2016 We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
doaj +1 more source