AbstractDown–up algebras which originated in the study of differential posets were recently defined and studied by Benkart and Roby. Benkart posed an open problem in her paper: to determine the centers of all down–up algebras. Here in this paper we completely solve this problem. As an application we also get the centers of homogenizations of down–up algebras
AbstractA down–up algebra A=A(α,β,γ), as defined in a 1998 paper by Benkart and Roby [J. Algebra 209...
Let A be Banach algebra and A∗, A∗ ∗ be the first and second dual space of its, respectively. In thi...
AbstractWe show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,” Cont...
AbstractDown–up algebras which originated in the study of differential posets were recently defined ...
AbstractThe algebra generated by the down and up operators on a differential or uniform partially or...
AbstractThe down–up algebras were introduced in [G. Benkart and T. Roby, 1998, J. Algebra209, 305–34...
AbstractThe algebra generated by the down and up operators on a differential or uniform partially or...
every algebraic theory is homotopically discrete, with the abelian monoid of components isomorphic t...
AbstractWe introduce a large class of infinite dimensional associative algebras which generalize dow...
Given a field k and elements α, β, γ ∈ k, Benkart and Roby [BR] defined the down-up algebra A(α, β, ...
Abstract. This paper studies two homogenizations of the down-up alge-bras introduced in [1]. We show...
Abstract. Down-up algebras A = A(; ; ) were introduced by G. Benkart and T. Roby to better understa...
Centers of categories capture the natural operations on their objects. Homotopy coherent centers are...
Centers of categories capture the natural operations on their objects. Homotopy coherent centers are...
Abstract. A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby [5]. ...
AbstractA down–up algebra A=A(α,β,γ), as defined in a 1998 paper by Benkart and Roby [J. Algebra 209...
Let A be Banach algebra and A∗, A∗ ∗ be the first and second dual space of its, respectively. In thi...
AbstractWe show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,” Cont...
AbstractDown–up algebras which originated in the study of differential posets were recently defined ...
AbstractThe algebra generated by the down and up operators on a differential or uniform partially or...
AbstractThe down–up algebras were introduced in [G. Benkart and T. Roby, 1998, J. Algebra209, 305–34...
AbstractThe algebra generated by the down and up operators on a differential or uniform partially or...
every algebraic theory is homotopically discrete, with the abelian monoid of components isomorphic t...
AbstractWe introduce a large class of infinite dimensional associative algebras which generalize dow...
Given a field k and elements α, β, γ ∈ k, Benkart and Roby [BR] defined the down-up algebra A(α, β, ...
Abstract. This paper studies two homogenizations of the down-up alge-bras introduced in [1]. We show...
Abstract. Down-up algebras A = A(; ; ) were introduced by G. Benkart and T. Roby to better understa...
Centers of categories capture the natural operations on their objects. Homotopy coherent centers are...
Centers of categories capture the natural operations on their objects. Homotopy coherent centers are...
Abstract. A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby [5]. ...
AbstractA down–up algebra A=A(α,β,γ), as defined in a 1998 paper by Benkart and Roby [J. Algebra 209...
Let A be Banach algebra and A∗, A∗ ∗ be the first and second dual space of its, respectively. In thi...
AbstractWe show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,” Cont...