Results 41 to 50 of about 475 (163)
The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution [PDF]
, 2014 In this paper we investigate the Lie structure of the derived Lie superalgebra [K, K], with K the set of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of [K, K], then either there exists an
Laliena, J. [0000-0001-8895-3591]
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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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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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NOTES ON LEFT IDEALS OF SEMIPRIME RINGS WITH MULTIPLICATIVE GENERALIZED (alpha,alpha)-DERIVATIONS [PDF]
, 2021 Let R be a 2-torsion free semiprime ring, I a nonzero left idealof R, alpha an automorphism on R and F a multiplicative (generalized)(alpha,alpha)-derivation of R.
Gölbaşı, Öznur +2 more
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