Results 61 to 70 of about 203 (170)
When do pseudo‐Gorenstein rings become Gorenstein?
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
wiley +1 more source
Abelian ideals of a Borel subalgebra and root systems [PDF]
Journal of the European Mathematical Society, 2014 Let \mathfrak g be a simple Lie algebra and \mathfrak {Ab}^o the poset of non-trivial abelian ideals of a fixed Borel subalgebra of
openaire +4 more sources
A note on the quasi‐local algebra of expander graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the quasi‐local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ∞$\ell _\infty$. Ozawa has recently shown that these algebras are distinct from the uniform Roe algebras of expander graphs, and our result describes a further difference.
Bruno M. Braga +2 more
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On imaginable T-fuzzy subalgebras and imaginable T-fuzzy closed ideals in BCH-algebras
International Journal of Mathematics and Mathematical Sciences, 2001 We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal.
Young Bae Jun, Sung Min Hong
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Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 more
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On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber +5 more
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H‐Fuzzy Ideals and H‐Fuzzy Filters in Distributive Join‐Semilattices
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates H‐fuzzy ideals of distributive join‐semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law. We also construct a number of characterizations for any H‐fuzzy ideal generated by an H‐fuzzy subset.
Mohammed Amare Mohammed +4 more
wiley +1 more source
Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan +3 more
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Characterizing Lie Algebra Structure via the Commutativity Degree
Journal of Mathematics, Volume 2026, Issue 1, 2026.The aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1/qk ...
Afsaneh Shamsaki +3 more
wiley +1 more source
Intuitionistic fuzzy ideals of BCK-algebras
International Journal of Mathematics and Mathematical Sciences, 2000 We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK ...
Young Bae Jun, Kyung Ho Kim
doaj +1 more source