AbstractThe study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue this study by applying two recent constructions of free Baxter algebras. We investigate the basic structure of a free Baxter algebra and characterize in detail when a free Baxter algebra is a domain or a reduced algebra. We also describe the nilpotent radical of a free Baxter algebra when it is not reduced
AbstractWe construct, for every real β ≥ 2, a primitive affine algebra with Gelfand-Kirillov dimensi...
Associative algebras are introduced into mathematics of the 19th century and are still intensively s...
summary:We present an algorithm for constructing the free algebra over a given finite partial algebr...
AbstractThe study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue ...
AbstractA Baxter algebra is a commutative algebra A together with a linear operator P such that P(ab...
AbstractWe apply recent constructions of free Baxter algebras to the study of the umbral calculus. W...
There was a long standing problem of G. C. Rota regarding the classi- fication of all linear operat...
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
There was an old problem of G. C. Rota regarding the classification of all linear operators on asso...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
AbstractIt is shown that any free Stone algebra is a weak boolean product of free bounded distributi...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characteriza...
International audienceWe give a new construction of a Hopf subalgebra of the Hopf algebra of Free qu...
AbstractWe study three classes of algebras: absolutely free algebras, free commutative non-associati...
AbstractWe construct, for every real β ≥ 2, a primitive affine algebra with Gelfand-Kirillov dimensi...
Associative algebras are introduced into mathematics of the 19th century and are still intensively s...
summary:We present an algorithm for constructing the free algebra over a given finite partial algebr...
AbstractThe study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue ...
AbstractA Baxter algebra is a commutative algebra A together with a linear operator P such that P(ab...
AbstractWe apply recent constructions of free Baxter algebras to the study of the umbral calculus. W...
There was a long standing problem of G. C. Rota regarding the classi- fication of all linear operat...
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
There was an old problem of G. C. Rota regarding the classification of all linear operators on asso...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
AbstractIt is shown that any free Stone algebra is a weak boolean product of free bounded distributi...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characteriza...
International audienceWe give a new construction of a Hopf subalgebra of the Hopf algebra of Free qu...
AbstractWe study three classes of algebras: absolutely free algebras, free commutative non-associati...
AbstractWe construct, for every real β ≥ 2, a primitive affine algebra with Gelfand-Kirillov dimensi...
Associative algebras are introduced into mathematics of the 19th century and are still intensively s...
summary:We present an algorithm for constructing the free algebra over a given finite partial algebr...
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