Results 51 to 60 of about 9,361 (158)
Polynomial identities for quivers via incidence algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We show that the path algebra of a quiver satisfies the same polynomial identities (PI) of an algebra of matrices, if any. In particular, the algebra of n×n$n\times n$ matrices is PI‐equivalent to the path algebra of the oriented cycle with n$n$ vertices.
Allan Berele +3 more
wiley +1 more source
Fuzzy Product KM-Subalgebras and Some Related Properties
Complexity, 2021 The concept of KM-algebras has been originated in 2019. KM-algebra is a generalization of some of the B-algebras such as BCK, BCI, BCH, BE, and BV and also d-algebras.
K. Kalaiarasi +5 more
doaj +1 more source
Lattice Valued Fuzzy Sets in UP (BCC)-Algebras
International Journal of Analysis and Applications, 2023 The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC ...
Aiyared Iampan +4 more
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A Frattini Theory for Leibniz Algebras [PDF]
, 2011 A Frattini theory for non-associative algebras was developed by Towers and results for particular classes of algebras have appeared in various articles. Especially plentiful are results on Lie algebras.
Batten, Chelsie +5 more
core
Subalgebras, idempotents, ideals and quasi-units of two-dimensional algebras [PDF]
International Journal of Algebra and Computation, 2020 All subalgebras, idempotents, left(right) ideals and left quasi-units of two-dimensional algebras are described. Classifications of algebras with given number of subalgebras, left(right) ideals are provided. In particular, a list of isomorphism classes of all simple two-dimensional algebras is given.
Ahmed, H., Bekbaev, U., Rakhimov, I.
openaire +3 more sources
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
Leibniz algebras, having a dense family of ideals
Karpatsʹkì Matematičnì Publìkacìï, 2020 We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$.
N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
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ON MAXIMAL SUBALGEBRAS AND MAXIMAL IDEALS OF BOOLEAN ALGEBRAS
Demonstratio Mathematica, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 +4 more
wiley +1 more source
Projectivity and freeness over comodule algebras [PDF]
, 2006 Let H be a Hopf algebra and A an H-simple right H-comodule algebra. It is shown that under certain hypotheses every (H,A)-Hopf module is either projective or free as an A-module and A is either a quasi-Frobenius or a semisimple ring. As an application it
Skryabin, S.
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