Results 11 to 20 of about 55,078 (219)

Prime i-Ideals in Ordered n-ary Semigroups

Mathematics, 2021
We study the concept of i-ideal of an ordered n-ary semigroup and give a construction of the i-ideal of an ordered n-ary semigroup generated by its nonempty subset.
Patchara Pornsurat, Pakorn Palakawong na Ayutthaya, Bundit Pibaljommee   +2 more
doaj   +1 more source

Prime ideal on the end_Z (Z^n ) Ring

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   +1 more source

Prime ideal graphs of commutative rings

Indonesian Journal of Combinatorics, 2022
Let R be a finite commutative ring with identity and P be a prime ideal of R. The vertex set is R - {0} and two distinct vertices are adjacent if their product in P. This graph is called the prime ideal graph of R and denoted by ΓP.
Haval Mohammed Salih, Asaad A. Jund
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

Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings

Walailak Journal of Science and Technology, 2018
The purpose of this paper is to introduce the notion of prime and left prime ideals in Γ-LA-rings. Some characterizations of prime, left prime, and weakly left ideals are obtained.
Pairote YIARAYONG
doaj   +1 more source

Soft ideals of soft ternary semigroups

Heliyon, 2021
In this paper, we introduce the notions of certain classes of soft ideals in soft ternary semigroups and study some inter-relations between different types of soft ideals in a soft ternary semigroup.
S. Kar, I. Dutta
doaj   +1 more source

The Ideal Over Semiring of the Non-Negative Integer

JTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Assumed that (S,+,.) is a semiring. Semiring is a algebra structure as a generalization of a ring. A set I⊆S is called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I for every s in semiring S.
Aisyah Nur Adillah, Fitriana Hasnani, Meryta Febrilian Fatimah, Nikken Prima Puspita   +3 more
doaj   +1 more source

On differentially prime ideals of Noetherian semirings

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
doaj   +1 more source

∇-prime rings and their commutativity

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   +1 more source

A note On 2-prime ideals [PDF]

Journal of Mahani Mathematical Research
Let $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $
Somayeh Hadjirezaei, Vajihe Sharifi
doaj   +1 more source