Bimodules and Rota-Baxter Relations
نویسندگان
چکیده
منابع مشابه
On Differential Rota-baxter Algebras
Abstract. A Rota-Baxter operator of weight λ is an abstraction of both the integral operator (when λ = 0) and the summation operator (when λ = 1). We similarly define a differential operator of weight λ that includes both the differential operator (when λ = 0) and the difference operator (when λ = 1). We further consider an algebraic structure with both a differential operator of weight λ and a...
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A Rota–Baxter algebra, also known as a Baxter algebra, is an algebra with a linear operator satisfying a relation, called the Rota–Baxter relation, that generalizes the integration by parts formula. Most of the studies on Rota–Baxter algebras have been for commutative algebras. Two constructions of free commutative Rota–Baxter algebras were obtained by Rota and Cartier in the 1970s and a third ...
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We give explicit formulae and study the combinatorics of an identity holding in all Rota-Baxter algebras. We describe the specialization of this identity for a couple of examples of Rota-Baxter algebras.
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In this paper, we prove results on enumerations of sets of Rota-Baxter words in a single generator and one unary operator. Examples of operators are integral operators, their generalization to Rota-Baxter operators, and Rota-Baxter type operators. Rota-Baxter words are certain words formed by concatenating generators and images of words under the operators. Under suitable conditions, they form ...
متن کاملRota–baxter Algebras, Singular Hypersurfaces, and Renormalization on Kausz Compactifications
We consider Rota-Baxter algebras of meromorphic forms with poles along a (singular) hypersurface in a smooth projective variety and the associated Birkhoff factorization for algebra homomorphisms from a commutative Hopf algebra. In the case of a normal crossings divisor, the Rota-Baxter structure simplifies considerably and the factorization becomes a simple pole subtraction. We apply this form...
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ژورنال
عنوان ژورنال: Journal of Applied Mechanical Engineering
سال: 2015
ISSN: 2168-9873
DOI: 10.4172/2168-9873.1000178