Results 1 to 10 of about 44,957 (356)

Prime ideal on the end_Z (Z^n ) Ring

open access: yesAl-Jabar, 2022
The set of all endomorphisms over -module  is a non-empty set denoted by . From  we can construct the ring of  over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers.
Zakaria Bani Ikhtiyar   +2 more
doaj   +2 more sources

∇-prime rings and their commutativity

open access: yesJournal of Taibah University for Science, 2023
Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text ...
Mohammad Aslam Siddeeque   +1 more
doaj   +2 more sources

Prime Spectrum of the Ring of Adeles of a Number Field

open access: yesMathematics, 2022
Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
doaj   +3 more sources

ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING [PDF]

open access: greenJournal of Algebraic Systems
‎T‎‎‎‎he main purpose of this article is to ‎present a‎ ‎new ‎approach ‎to ‎the‎ classification of all indecomposable absorbing ‎prime‎ multiplication modules with finite-dimensional top over pullback rings of two Dedekind ‎domains.
Farkhondeh Farzalipour, Peyman Ghiasvand
doaj   +2 more sources

Quasi-semiprime Modules

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
    Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever   is a Prime Ideal For proper submodule N of  B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
doaj   +1 more source

Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]

open access: yesJournal of Hyperstructures, 2017
In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt   +3 more
doaj   +1 more source

GRADED I-PRIME SUBMODULES [PDF]

open access: yesJournal of Algebraic Systems, 2023
Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$.
I. Akray   +3 more
doaj   +1 more source

A characterization of skew $b$-derivations in prime rings [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential ...
Shakir Ali   +3 more
doaj   +1 more source

On Graded 2-Prime Ideals

open access: yesMathematics, 2021
The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
doaj   +1 more source

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