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4 papers · 1 filter
Automorphisms of Generalized Down-Up Algebras
Paula A. A. B. Carvalho, Samuel A. Lopes
A generalization of down-up algebras was introduced by Cassidy and Shelton (J. Algebra 279 (2004), no. 1), the so-called generalized down-up algebras. We describe the automorphism…
A central closure construction for certain extensions. Applications to Hopf algebra actions
Christian Lomp
Algebra extensions A < B where A is a left B-module such that the B-action extends the multiplication in A are ubiquitous. We encounter examples of such extensions in the study of…
Integrals in Hopf algebras over rings
Christian Lomp
Integrals in Hopf algebras are an essential tool in studying finite dimensional Hopf algebras and their action on algebras. Over fields it has been shown by Sweedler that the exist…
When is a smash product semiprime?
Christian Lomp
It is an open question whether the smash product of a semisimple Hopf algebra and a semiprime module algebra is semiprime. In this paper we show that the smash product of a commuta…