Results 31 to 40 of about 1,300,388 (301)

Prime i-Ideals in Ordered n-ary Semigroups

open access: yesMathematics, 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   +2 more
doaj   +1 more source

Purity of the Ideal of Continuous Functions with Compact Support [PDF]

open access: yes, 1999
<P>Let C(X) be the ring of all continuous real valued functions defined on a completely regular T1-space. Let CK(X) be the ideal of functions with compact support.
Al-Ezeh, H.   +3 more
core   +1 more source

Projective prime ideals and localisation in pi-rings [PDF]

open access: yes, 2001
The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W.   +5 more
core   +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

Expansions of Prime Ideals

open access: yesRocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malcolmson, P., Okoh, F.
openaire   +2 more sources

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

open access: yesWalailak 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

The Ideal Over Semiring of the Non-Negative Integer

open access: yesJTAM (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   +3 more
doaj   +1 more source

On differentially prime ideals of Noetherian semirings

open access: yesНауковий 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

Soft ideals of soft ternary semigroups

open access: yesHeliyon, 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

∇-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   +1 more source

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