Results 11 to 20 of about 1,183,168 (293)

The Reticulation of a Universal Algebra [PDF]

open access: yesScientific Annals of Computer Science, 2018
The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
doaj   +7 more sources

Automorphisms of the universal enveloping algebra of a finite-dimensional Zinbiel algebra with zero multiplication

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
doaj   +1 more source

Post-Lie algebras in Regularity Structures

open access: yesForum of Mathematics, Sigma, 2023
In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
doaj   +1 more source

On the Category of EQ-algebras

open access: yesBulletin of the Section of Logic, 2021
In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct and pushout in a special case ...
Narges Akhlaghinia   +3 more
doaj   +1 more source

Universal corner symmetry and the orbit method for gravity

open access: yesNuclear Physics B, 2023
A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
doaj   +1 more source

On the universal enveloping algebra of a lie algebroid [PDF]

open access: yes, 2010
We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold M resembles a Hopf algebra, and prove a Cartier-Milnor-Moore theorem for this type of ...
J. Mrčun   +3 more
core   +2 more sources

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

open access: yes, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob   +1 more
core   +4 more sources

Pseudo-free families and cryptographic primitives

open access: yesJournal of Mathematical Cryptology, 2022
In this article, we study the connections between pseudo-free families of computational Ω\Omega -algebras (in appropriate varieties of Ω\Omega -algebras for suitable finite sets Ω\Omega of finitary operation symbols) and certain standard cryptographic ...
Anokhin Mikhail
doaj   +1 more source

On even spin W ∞ $$ {\mathcal{W}}_{\infty } $$

open access: yesJournal of High Energy Physics, 2020
We study the even spin W ∞ $$ {\mathcal{W}}_{\infty } $$ which is a universal W -algebra for orthosymplectic series of W $$ \mathcal{W} $$ -algebras. We use the results of Fateev and Lukyanov to embed the algebra into W 1 + ∞ $$ {\mathcal{W}}_{1+\infty }
Tomáš Procházka
doaj   +1 more source

On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2020
The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
doaj   +1 more source

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