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Centralizing n-Homoderivations of Semiprime Rings
Journal of Mathematics, 2022 We introduce the notion of n-homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n-homoderivation which is centralizing on some nontrivial one-sided ideal. Under similar hypotheses,
M. S. Tammam El-Sayiad +2 more
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On $gr$-quasi-semiprime submodules [PDF]
, 2023 Let $G$ be a group. A ring $R$ is called a graded ring (or $G$-graded ring) if there exist additive subgroups $R_{\alpha }$ of $R$ indexed by the elements $\alpha \in G$ such that $R=\bigoplus_{\alpha \in G}R_{\alpha }$ and $R_{\alpha }R_{\beta ...
Alghueiri, Shatha, Al-Zoubi, Khaldoun
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On Centrally Semiprime Rings and Centrally Semiprime [PDF]
, 2008 In this paper, two new algebraic structures are introduced which we call a centrally semiprime ring and a centrally semiprime right near-ring, and we look for those conditions which make centrally semiprime rings as commutative rings, so that several ...
Adil Kadir Jabbar +1 more
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Prime(Semiprime) Fuzzy h-ideal in Γ-hemiring
, 2011 The notions of prime(semiprime) fuzzy h-ideal(h-biideal, h-quasi-ideal) in Γ-hemiring are introduced and some of their characterizations are obtained by using "belongingness(∈)" and "quasi - coincidence(q)".
Debabrata Mandal, Sujit Kumar Sardar
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Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring
Fuzzy Information and Engineering, 2023 In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati +2 more
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Permuting Generalized f‐Triderivations on Lattices
Journal of Mathematics, Volume 2026, Issue 1, 2026.G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed +3 more
wiley +1 more source
Additivity and Central Behavior of CE‐Generalized Homoderivations in Associative Rings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized homoderivations, and left centralizers.
Hicham Saber +6 more
wiley +1 more source
$0$-ideals in $0$-distributive posets [PDF]
Mathematica Bohemica, 2016 The concept of a $0$-ideal in $0$-distributive posets is introduced. Several properties of $0$-ideals in $0$-distributive posets are established. Further, the interrelationships between $0$-ideals and $\alpha$-ideals in $0$-distributive posets are ...
Khalid A. Mokbel
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Some types of fuzzy ideals in semigroups
مجلة علوم ذي قار, 2019 In this paper ,we study the notion of fuzzy ideal in semigroups and give some properties about it and we reviewed some types of ideals such as (regular,semiprime,(1,2)- ideal,(2,2)-ideal and gives some relationships between them.
Rabee Hadi
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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
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