Results 51 to 60 of about 918,603 (135)
Semiprime ideals in general lattices
, 1989 The ring-theoretical concept of semiprime ideal is appropriately defined for lattices. We prove that an ideal I of a lattice L is semiprime iff I is the kernel of some homomorphisms of L onto a distributive lattice with zero. As a corollary we generalize
Rav, Yehuda
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H‐Fuzzy Clots and the Lattice of H‐Fuzzy Clots in Universal Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces H‐fuzzy clots in universal algebras with a distinguished constant 0, where H is a complete Heyting algebra serving as the truth value structure. This paper presents the fuzzy analog of classical clots, concepts that generalize ideals and congruence classes, thereby addressing a notable gap in fuzzy algebraic structures.
Tewodros Argachew Degefa +3 more
wiley +1 more source
Semi r-ideals of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Let A,∗,0 be a d‐algebra. The main focus of this article is to introduce the concept of a homoderivation as a self‐map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A.
Hicham Saber +6 more
wiley +1 more source
Factoring Ideals into Semiprime Ideals
, 1978 Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which
R. W. Yeagy, N. H. Vaughan
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مجلة بغداد للعلوم, 2008 The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
Baghdad Science Journal
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A CHARACTERIZATION OF BAER-IDEALS [PDF]
Journal of Algebraic Systems, 2014 An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
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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 +5 more
wiley +1 more source
SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS [PDF]
The first purpose of this article is to examine the structure of an S=Pquotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,we look at differential identities in the semiprime ideal of an arbitrary ring using theP ...
Bedir, Zeliha
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On Skew Left n-Derivations with Lie Ideal Structure
مجلة بغداد للعلوم, 2019 In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and the commutativity of Lie ideal under certain conditions were proved.
Faraj et al.
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