Add to ORKGAbstract. A class of algebras called down-up algebras was introduced by G. Benkart and T. Roby [5]. We classify the finite dimensional simple modules over Noetherian down-up algebras and show that in some cases every finite dimensional module is semisimple. We also study the question of when two down-up algebras are isomorphic. 1
This monograph studies algebras that are associated to blocks of tame representation type. Over the ...
Ringel CM. The development of the representation theory of finite dimensional algebras. In: Martsink...
AbstractA down–up algebra A=A(α,β,γ), as defined in a 1998 paper by Benkart and Roby [J. Algebra 209...
Abstract. We introduce a large class of infinite dimensional as-sociative algebras which generalize ...
Abstract. Down-up algebras A = A(; ; ) were introduced by G. Benkart and T. Roby to better understa...
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noe...
A generalization of down-up algebras was introduced by Cassidy and Shelton in [4], the so-called gen...
Abstract. This paper studies two homogenizations of the down-up alge-bras introduced in [1]. We show...
AbstractWe show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,” Cont...
AbstractThe algebra generated by the down and up operators on a differential or uniform partially or...
The representation theory of finite-dimensional algebras over fields is the systematic study of modu...
AbstractThe down–up algebras were introduced in [G. Benkart and T. Roby, 1998, J. Algebra209, 305–34...
AbstractWe introduce a large class of infinite dimensional associative algebras which generalize dow...
We have seen that a finite dimensional algebra has only finitely many isomorphism classes of simple ...
The purpose of this paper is to study finiteness conditions on injective hulls of simple modules ove...
This monograph studies algebras that are associated to blocks of tame representation type. Over the ...
Ringel CM. The development of the representation theory of finite dimensional algebras. In: Martsink...
AbstractA down–up algebra A=A(α,β,γ), as defined in a 1998 paper by Benkart and Roby [J. Algebra 209...
Abstract. We introduce a large class of infinite dimensional as-sociative algebras which generalize ...
Abstract. Down-up algebras A = A(; ; ) were introduced by G. Benkart and T. Roby to better understa...
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noe...
A generalization of down-up algebras was introduced by Cassidy and Shelton in [4], the so-called gen...
Abstract. This paper studies two homogenizations of the down-up alge-bras introduced in [1]. We show...
AbstractWe show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,” Cont...
AbstractThe algebra generated by the down and up operators on a differential or uniform partially or...
The representation theory of finite-dimensional algebras over fields is the systematic study of modu...
AbstractThe down–up algebras were introduced in [G. Benkart and T. Roby, 1998, J. Algebra209, 305–34...
AbstractWe introduce a large class of infinite dimensional associative algebras which generalize dow...
We have seen that a finite dimensional algebra has only finitely many isomorphism classes of simple ...
The purpose of this paper is to study finiteness conditions on injective hulls of simple modules ove...
This monograph studies algebras that are associated to blocks of tame representation type. Over the ...
Ringel CM. The development of the representation theory of finite dimensional algebras. In: Martsink...
AbstractA down–up algebra A=A(α,β,γ), as defined in a 1998 paper by Benkart and Roby [J. Algebra 209...