Results 51 to 60 of about 474 (163)

The Rough Intuitionistic Fuzzy Ideals of Intuitionistic Fuzzy Subrings in a Commutative Ring

Fuzzy Information and Engineering, 2014
The aim of this paper is to give some definitions of rough intuitionistic fuzzy ideal, rough intuitionistic fuzzy radical, rough prime (primary) intuitionistic fuzzy ideal and rough semiprime intuitionistic fuzzy ideal of an intuitionistic fuzzy subring,
Prasenjit Mandal, A.S. Ranadive
doaj   +1 more source

Left Ideals Satisfying Central‐Valued Identities Modulo Semiprime Ideals via Multiplicative (Generalized) Derivations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we investigate the behavior of semiprime ideals that satisfy certain algebraic identities using multiplicative (generalized) derivations. In addition, examples are provided to show that the limits imposed on the hypotheses of the different theorems are not superfluous.
Amal S. Alali, Abdelkarim Boua, Claus Haetinger, Nadeem ur Rehman, Hafedh Alnoghashi, Smritijit Sen   +5 more
wiley   +1 more source

Fully noncentral Lie ideals and invariant additive subgroups in rings

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We prove conditions ensuring that a Lie ideal or an invariant additive subgroup in a ring contains all additive commutators. A crucial assumption is that the subgroup is fully noncentral, that is, its image in every quotient is noncentral. For a unital algebra over a field of characteristic ≠2$\ne 2$ where every additive commutator is a sum of
Eusebio Gardella, Tsiu‐Kwen Lee, Hannes Thiel   +2 more
wiley   +1 more source

Prime Graphs of Polynomials and Power Series Over Noncommutative Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The prime graph PG(R) of a ring R is a graph whose vertex set consists of all elements of R. Two elements x, y ∈ R are adjacent in the graph if and only if xRy = 0 or yRx = 0. An element a ∈ R is called a strong zero divisor in R if 〈a〉〈b〉 = 0 or 〈b〉〈a〉 = 0 for some nonzero element b ∈ R. The set of all strong zero divisors is denoted by S(R).
Walaa Obaidallah Alqarafi, Wafaa Mohammed Fakieh, Alaa Abdullah Altassan, Shikha Binwal   +3 more
wiley   +1 more source

Karakteristik Ideal Semiprima Fuzzy

, 2018
A function  is called as an fuzzy prime ideal if every fuzzy ideal of  and  satisfies  caused  or  and a function  is called as an fuzzy semiprime ideal if every fuzzy ideal of  which requires  caused .
Abdurahim, Abdurahim, Ahmad, Ahmad, Primajati, Gilang, Anas, Andy Sofyan, Negara, Habib Ratu Perwira   +4 more
core   +1 more source

A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]

Journal of Algebraic Systems
An ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj   +1 more source

Effects of Generalized Semiderivations on Algebraic Identities Involving Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, instead of a generalized derivation, we will use the concept of a generalized semiderivation ∇ that satisfies various identities involving a prime ideal ß of an optional ring Λ to describe the behavior of a quotient ring Λ/ß. We will use this concept to generalize some well‐known results that studied the behavior of a ring Λ via a ...
Kholood Alnefaie, Pramita Mishra
wiley   +1 more source

A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi, Hafedh Alnoghashi, Radwan Mohammed Al-Omary, Abdelkarim Boua, Faranak Farshadifar   +4 more
wiley   +1 more source

On fuzzy soft bi-ideals over semigroups [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2015
The aim of this paper is to study fuzzy soft bi-ideals over semigroups and give some properties of prime, strongly prime and semiprime fuzzy soft bi-ideals over semigroups.
Manoj Siripitukdet, Peerapong Suebsan
doaj  

On the generalization of torsion functor and P-semiprime modules over noncommutative rings [PDF]

Journal of Hyperstructures
Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓP over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛP.
Teklemichael Bihonegn, Tilahun Abebaw, Nega Arega   +2 more
doaj   +1 more source