Results 51 to 60 of about 1,036 (187)

Falling 𝑑-Ideals in 𝑑-Algebras

Discrete Dynamics in Nature and Society, 2011
Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in 𝑑-algebras is established. The notions of a falling 𝑑-subalgebra, a falling 𝑑-ideal, a falling 𝐵𝐶𝐾-ideal, and a falling 𝑑♯-
Young Bae Jun, Sun Shin Ahn, Kyoung Ja Lee   +2 more
doaj   +1 more source

On the tightness of left‐invariant contact structures

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Fuzzy BCI-subalgebras with interval-valued membership functions

International Journal of Mathematics and Mathematical Sciences, 2001
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A
Sung Min Hong, Young Bae Jun, Seon Jeong Kim, Gwang Il Kim   +3 more
doaj   +1 more source

Introduction of Neutrosophic Soft Lie Algebras [PDF]

Neutrosophic Sets and Systems
We introduce the concept of neutrosophic soft Lie subalgebras of a Lie algebra and investigate some of their properties. The Cartesian product of neutrosophic soft Lie subalgebras will be discussed.
Sebuhi Abdullayev, Kemale Veliyeva, Sadi Bayramov   +2 more
doaj   +1 more source

Multi-folded N-Structures with Finite Degree and its Application in BCH- Algebras

International Journal of Computational Intelligence Systems, 2020
The generalization of N-structure is introduced first and then applied to BCH-algebra for research. The concepts of k-folded N-subalgebra, k-folded N-closed ideal and (closed) k-folded N-filter are introduced, and then their relations and several ...
Jeong-Gon Lee, Kul Hur, Young Bae Jun
doaj   +1 more source

Levi Decomposition of Frobenius Lie Algebra of Dimension 6

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022
In this paper, we study notion of the Lie algebra  of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
doaj   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

A-subalgebras of A[x]

Journal of Algebra, 1979
AbstractIn the setting A ⊂B ⊂A[x], if B is a Krull domain with torsion class group, so is A. Further relations are discussed, C(B) is proved to be an extension of C(A) by a finite group. The structure of B is described. Some examples are provided for the non-torsion class group case.
openaire   +2 more sources

Douglas algebras without maximal subalgebra and without minimal superalgebra

Abstract and Applied Analysis, 2001
We give several examples of Douglas algebras that do not have any maximal subalgebra. We find a condition on these algebras that guarantees that some do not have any minimal superalgebra.
Carroll Guillory
doaj   +1 more source