Results 1 to 10 of about 42,209 (310)

Prime ideal on the end_Z (Z^n ) Ring [PDF]

Al-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, Nikken Prima Puspita, Titi Udjiani   +2 more
doaj   +2 more sources

∇-prime rings and their commutativity [PDF]

Journal 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, Abbas Hussain Shikeh   +1 more
doaj   +2 more sources

Prime Spectrum of the Ring of Adeles of a Number Field

Mathematics, 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

On generalized homoderivations of prime rings

Математичні Студії, 2023
Let $\mathscr{A}$ be a ring with its center $\mathscr{Z}(\mathscr{A}).$ An additive mapping $\xi\colon \mathscr{A}\to \mathscr{A}$ is called a homoderivation on $\mathscr{A}$ if $\forall\ a,b\in \mathscr{A}\colon\quad \xi(ab)=\xi(a)\xi(b)+\xi(a)b+a\xi(
N. Rehman, E. K. Sogutcu, H. M. Alnoghashi   +2 more
doaj   +4 more sources

The Source of Primeness of Rings

Journal of New Theory, 2022
In this study, we define a new concept, i.e., source of primeness of a ring $R$, as $P_{R} := \bigcap_{a\in R} S_{R}^{a}$ such that $S_{R}^{a}:=\{b\in R \mid aRb=(0)\}$. We then examine some basic properties of $P_{R}$ related to the ring’s idempotent elements, nilpotent elements, zero divisor elements, and identity elements.
Didem Yeşil, Didem Karalarlıoğlu Camcı   +1 more
openaire   +5 more sources

Quasi-semiprime Modules

Ibn 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]

Journal 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, SERKAN ONAR, Deniz S¨onmez, Bayram Ersoy   +3 more
doaj   +1 more source

GRADED I-PRIME SUBMODULES [PDF]

Journal 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, Sh. Othman, A. Jabbar, H. Hussein   +3 more
doaj   +1 more source

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

Journal 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, Mohammad Khan, Mohammed Ayedh, Vaishali Varshney   +3 more
doaj   +1 more source

On Graded 2-Prime Ideals

Mathematics, 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