Results 51 to 60 of about 184 (133)

Rota–Baxter operators on involutive associative algebras [PDF]

open access: yesActa Scientiarum Mathematicarum, 2021
In this paper, we consider Rota-Baxter operators on involutive associative algebras. We define cohomology for Rota-Baxter operators on involutive algebras that governs the formal deformation of the operator. This cohomology can be seen as the Hochschild cohomology of a certain involutive associative algebra with coefficients in a suitable involutive ...
openaire   +1 more source

Abstract Book: 25th Congress of the European Hematology Association Virtual Edition, 2020

open access: yes, 2020
HemaSphere, Volume 4, Issue S1, Page 1-1168, June 2020.
wiley   +1 more source

Spectrum of Rota–Baxter operators

open access: yesInternational Journal of Algebra and Computation
Rota–Baxter operators have been studied since 1960, and there are lots of their applications in mathematical physics, number theory, and noncommutative geometry. We state a surprisingly general property of such operators: the spectrum of every Rota–Baxter operator of weight [Formula: see text] on a finite-dimensional unital (not necessarily ...
openaire   +3 more sources

Lie Rota–Baxter operators on the Sweedler algebra H4

open access: yesInternational Journal of Algebra and Computation
If A is an associative algebra, then we can define the adjoint Lie algebra [Formula: see text] and Jordan algebra [Formula: see text]. It is easy to see that any associative Rota–Baxter (RB) operator on A induces a Lie and Jordan RB operator on [Formula: see text] and [Formula: see text], respectively.
Valeriy G. Bardakov   +2 more
openaire   +3 more sources

On Rota-Baxter vertex operator algebras

open access: yesJournal of Pure and Applied Algebra
Derivations play a fundamental role in the definition of vertex (operator) algebras, sometimes regarded as a generalization of differential commutative algebras. This paper studies the role played by the integral counterpart of the derivations, namely Rota-Baxter operators, in vertex (operator) algebras.
Chengming Bai   +3 more
openaire   +2 more sources

23rd Congress of the European Hematology Association Stockholm, Sweden, June 14‐17, 2018

open access: yes, 2018
HemaSphere, Volume 2, Issue S1, Page 1-1113, June 2018.
wiley   +1 more source

Twisting on associative algebras and Rota–Baxter type operators

open access: yesJournal of Noncommutative Geometry, 2010
We introduce an operation called “twisting” on the Hochschild complex by analogy with Drinfeld’s twisting operations. By using the twisting and derived bracket constructions, we study differential graded Lie algebra structures associated to the bi-graded Hochschild complex.
openaire   +3 more sources

On chains and Rota-Baxter operators of evolution algebras

open access: yes, 2019
The paper is devoted to study new classes of chains of evolution algebras and their time-depending dynamics. Moreover, we construct some Rote-Baxter operators of such algebras.
Ladra, Manuel, Murodov, Sherzod N.
openaire   +2 more sources

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