Results 41 to 50 of about 4,055 (200)
On S-Prime and S-Semiprime RΓ-Submodules of RΓ-Module
, 2021 Let R be a Γ-ring and G be a RΓ-module. Aproper RΓ-submodule E of G is said to be S-prime (S-semiprime) RΓ-submodule of G whenever μ(K) ⊆ E ( μ(m) γ μ(m) E ), for some K be a RΓ-submodule of G, where End (G), y Γ and m G, then K ⊆ E or M(G)⊆ E ( μ(m) E).
Ali Abd Alhussein Zyarah, N. Al-Mothafar
semanticscholar +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
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
Rough Fuzzy Ideals Induced by Set‐Valued Homomorphism in Ternary Semigroups
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision‐making problems. In this research, approximations for fuzzy prime ideals in ternary semigroups are studied.
Shahida Bashir +4 more
wiley +1 more source
FULLY PRIME MODULES AND FULLY SEMIPRIME MODULES
, 2020 John A. Beachy +1 more
openalex +3 more sources
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
Semiprime RΓ-Submodules of Multiplication RΓ-Modules
Iraqi Journal of Science, 2020 Let R be a Γ-ring and G be an RΓ-module. A proper RΓ-submodule S of G is said to be semiprime RΓ-submodule if for any ideal I of a Γ-ring R and for any RΓ-submodule A of G such that or which implies that .
Ali Abd Alhussein Zyarah, N. Al-Mothafar
semanticscholar +1 more source
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
Radicals of Generalized Prime Ideals in Ternary Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon +2 more
doaj +1 more source
Proceedings of the American Mathematical Society, 1973 The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the maximal right quotient ring of R R is also P.I. and (2) every essential one-sided ideal of R R contains an essential two-sided ideal of R R .
openaire +2 more sources