Results 41 to 50 of about 474 (163)
A Characterization of semiprime ideals in near-rings [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982 AbstractIt is well known that in any near-ring, any intersection of prime ideals is a semiprime ideal. The aim of this paper is to prove that any semiprime ideal I in a near-ring N is the intersection of all minimal prime ideals of I in N. As a consequence of this we have any seimprime ideal I is the intersectionof all prime ideals containing I.
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Interval-Valued Semiprime Fuzzy Ideals of Semigroups
Advances in Fuzzy Systems, 2014 We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ideals and characterize regular semigroups by using these (i-v) fuzzy ideals.
Sukhendu Kar, Paltu Sarkar, Kostaq Hila
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BIDERIVATIONS ON IDEALS IN SEMIPRIME SEMIRINGS
International Journal of Pure and Apllied Mathematics, 2015 Motivated by some works on derivations on rings, Chandramouless- waran and Thiruveni discussed the notion of derivations on semirings. In this paper, we discuss the notion Biderivations on ideals in semiprime semirings and prove some simple properties.
S.P.N. Devi, V. Thiruveni
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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
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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
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$0$-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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On semiprime ideals in lattices
Journal of Pure and Applied Algebra, 1990 AbstractThe basic aim of this note is to show that alleles can be a useful tool for investigations of semiprime ideals. By means of alleles we characterize semiprime ideals in general lattices. We also study when a sectionally complemented lattice is distributive.
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Multiplicative semiderivations on ideals in semiprime rings
, 2017 In this paper, we introduce multiplicative semiderivation and we investigate the commutativity of semiprime rings satisfying certain conditions and identities involving multiplicative semiderivations on a nonzero ideal I of a ring R.
Öölbaşı, Öznur, Ögırtıcı, Önur
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On $gr$-quasi-semiprime submodules
, 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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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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