Results 81 to 90 of about 1,036 (187)

𝒩-Subalgebras in BCK/BCI-Algebras Based on Point 𝒩-Structures

International Journal of Mathematics and Mathematical Sciences, 2010
The notion of 𝒩-subalgebras of several types is introduced, and related properties are investigated. Conditions for an 𝒩-structure to be an 𝒩-subalgebra of type (q,∈⋁ q) are provided, and a characterization of an 𝒩 ...
Young Bae Jun, Min Su Kang, Chul Hwan Park   +2 more
doaj   +1 more source

Lorentzian homogeneous structures with indecomposable holonomy

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley   +1 more source

A categorification of combinatorial Auslander–Reiten quivers

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We provide a categorification of Oh and Suh's combinatorial Auslander–Reiten quivers in the simply laced case. We work within the perfectly valued derived category pvd(ΠQ)$\mathrm{pvd}(\Pi _Q)$ of the 2‐dimensional Ginzburg dg algebra of a Dynkin quiver Q$Q$.
Ricardo Canesin
wiley   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras

Axioms, 2018
As a new extension of a cubic set, the notion of a cubic interval-valued intuitionistic fuzzy set is introduced, and its application in B C K / B C I -algebra is considered. The notions of α -internal, β -internal, α -external and
Young Bae Jun, Seok-Zun Song, Seon Jeong Kim   +2 more
doaj   +1 more source

Degree estimate for subalgebras

Journal of Algebra, 2012
Based on Bergman's Lemma on centralizers, we obtain a sharp lower degree bound for nonconstant elements in a subalgebra generated by two elements of a free associative algebra over an arbitrary field.
Yu, JT, Li, YC
openaire   +4 more sources

On the Strong Atoms of Q-Algebras

Axioms
The concept of strong atoms in Q-algebras is discussed herein. In this work, some properties of strong atoms are provided. We show that there is no Q-algebra X with |X|≥3 such that all elements are strong atoms.
Kittisak Saengsura, Napaporn Sarasit, Ananya Anantayasethi   +2 more
doaj   +1 more source

On the (De)homogenization of Sagbi Bases

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper we study the relation between nonhomogeneous and homogeneous Sagbi bases. As a consequence, we present a general prin- ciple of computing Sagbi bases of a subalgebra and its homogenized subalgebra, which is based on passing over to ...
Khan Junaid Alam
doaj   +1 more source

Foldness of Bipolar Fuzzy Sets and Its Application in BCK/BCI-Algebras

Mathematics, 2019
Recent trends in modern information processing have focused on polarizing information, and and bipolar fuzzy sets can be useful. Bipolar fuzzy sets are one of the important tools that can be used to distinguish between positive information and negative ...
Young Bae Jun, Seok-Zun Song
doaj   +1 more source

Graded subalgebras associated with a subalgebra of a graded free lie algebra

Journal of Pure and Applied Algebra, 1985
If \(L=\oplus_{n\geq 1}L^ n\) is a graded free Lie algebra over a field K and A is a subalgebra of L, let gr A (resp. Gr A) denote the subalgebra of L generated by the homogeneous components of minimum (resp. maximum) degree of elements of A. It is shown that for any positive integer r, gr \(A_ r=(gr A)_ r\) and Gr \(A_ r=(Gr A)_ r\) where \(B_ r ...
openaire   +3 more sources