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
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
We are concerned with the idealizer S of a principal right ideal rR in a free associative algebra R....
Abstract. In the reduced free product of C{algebras, (A; ) = (A1; 1) (A2; 2) with respect to faith...
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...
In this paper, we propose the concept of an $\Omega$-Rota-Baxter system, which is a generalization o...
There was an old problem of G. C. Rota regarding the classification of all linear operators on asso...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
AbstractThe shuffle algebra generated by the factors of a given word is shown to be free, with trans...
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
In this paper we studied the free A*-algebras, the sub A*-algebra generated by a subset and its char...
Pierre de la Harpe Abstract. The operator algebras associated to non commutative free groups have re...
The aim of this paper is to unify the points of view of three recent and independent papers (Ventura...
International audienceWe give a new construction of a Hopf subalgebra of the Hopf algebra of Free qu...
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
We are concerned with the idealizer S of a principal right ideal rR in a free associative algebra R....
Abstract. In the reduced free product of C{algebras, (A; ) = (A1; 1) (A2; 2) with respect to faith...
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...
In this paper, we propose the concept of an $\Omega$-Rota-Baxter system, which is a generalization o...
There was an old problem of G. C. Rota regarding the classification of all linear operators on asso...
We show that there exists several reduced-like representations of a full free product C*-algebra th...
AbstractThe shuffle algebra generated by the factors of a given word is shown to be free, with trans...
AbstractWe study generalized primitive elements of free algebras of finite ranks with the Nielsen–Sc...
In this paper we studied the free A*-algebras, the sub A*-algebra generated by a subset and its char...
Pierre de la Harpe Abstract. The operator algebras associated to non commutative free groups have re...
The aim of this paper is to unify the points of view of three recent and independent papers (Ventura...
International audienceWe give a new construction of a Hopf subalgebra of the Hopf algebra of Free qu...
AbstractFree Akivis algebras and primitive elements in their universal enveloping algebras are inves...
We are concerned with the idealizer S of a principal right ideal rR in a free associative algebra R....
Abstract. In the reduced free product of C{algebras, (A; ) = (A1; 1) (A2; 2) with respect to faith...