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Rota-Baxter operators on unital algebras - MaRDI portal

Rota-Baxter operators on unital algebras (Q5154993)

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scientific article; zbMATH DE number 7406844

Language	Label	Description	Also known as
English	Rota-Baxter operators on unital algebras	scientific article; zbMATH DE number 7406844

Statements

scholarly article

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publication date

5 October 2021

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full work available at URL

https://arxiv.org/abs/1805.00723

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http://www.mathjournals.org/mmj/2021-021-002/2021-021-002-004.html

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zbMATH Keywords

Rota-Baxter operator

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Yang-Baxter equations

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matrix algebras

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Grassman algebras

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Faulhaber polynomial

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.RA

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Rota-Baxter operators on pre-Lie superalgebras

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The maximal dimension of unital subalgebras of the matrix algebra

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Pre-Poisson algebras

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On the associative analog of Lie bialgebras

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From Rota–Baxter algebras to pre-Lie algebras

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Some aspects of Baxter's functional equation

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Splitting of Operations, Manin Products, and Rota–Baxter Operators

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An analytic problem whose solution follows from a simple algebraic identity

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Solutions of the classical Yang-Baxter equation for simple Lie algebras

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Rota-Baxter operators on quadratic algebras

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Gröbner-Shirshov bases for Rota-Baxter algebras.

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Simple left-symmetric algebras with solvable Lie algebra

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On the structure of free Baxter algebras

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Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem

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Finite Dimensional Baxter Algebras

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Rota-Baxter operators on Witt and Virasoro algebras

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Boundary solutions of the classical Yang-Baxter equation

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Generalized Operator Yang-Baxter Equations, Integrable ODEs and Nonassociative Algebras

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On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation

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Rota-Baxter operators of weight zero on simple Jordan algebra of Clifford type

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Rota–Baxter operators on a sum of fields

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Embedding of dendriform algebras into Rota-Baxter algebras

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Banach-Lie groups and integrable systems

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Baxter algebras and shuffle products

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On differential Rota-Baxter algebras.

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ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS

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Rota-Baxter operators of 3-dimensional Heisenberg Lie algebra

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Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements

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Homogeneous averaging operators on simple finite conformal Lie algebras

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Advanced determinant calculus

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Rota-Baxter operators on pre-Lie algebras

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On the structure of cofree Hopf algebras

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Rota–Baxter operators on skew generalized power series rings

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A taste of Jordan algebras

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ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES

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Some properties of baxter operators

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Baxter operators and endomorphisms on Banach algebras

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\(R\)-matrices in rime

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PostLie algebra structures on the Lie algebra sl(2,C)

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Rota-Baxter operators on $\mathrm{sl(2,\mathbb {C})}$ sl (2,C) and solutions of the classical Yang-Baxter equation

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Classical Yang-Baxter equation and the \(A_\infty\)-constraint

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Baxter algebras and combinatorial identities. I

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What is a classical r-matrix?

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Remark on radicals and differentiation of rings

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Classification of constant solutions of the associative Yang-Baxter equation on \(\mathrm{Mat}_3\).

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Constant solutions of Yang-Baxter equation for $\mathfrak{sl}(2)$ and $\mathfrak{sl}(3)$.

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Post-Lie algebra structures on the Witt algebra

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Post-Lie algebra structures on solvable Lie algebra \(t(2, \mathbb{C})\)

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Rota-Baxter operators on 4-dimensional complex simple associative algebras

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Some Theorems On Matrices With Real Quaternion Elements

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Rota-Baxter operators on 3-dimensional Lie algebras and the classical \(R\)-matrices

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Classification of monomial Rota–Baxter operators on k[x]

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Quaternions and matrices of quaternions

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Jordan bialgebras of symmetric elements and Lie bialgebras

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Rota-Baxter operators on the polynomial algebra, integration, and averaging operators

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Classification of Rota-Baxter operators on semigroup algebras of order two and three

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5154993

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