Partial bi(co)module algebras, globalizations, and partial (L,R)-smash products

2015/05/19 by Castro, Felipe, Paques, Antonio, Quadros, Glauber +1
#FOS: Mathematics #Primary 16S40 #Rings and Algebras (math.RA) #Secondary 16T99

paper · doi:10.48550/arxiv.1505.05019

Abstract

In this paper we introduce the notions of partial bimodule algebra and partial bico- module algebra. We also deal with the existence of globalizations for these structures, generalizing related results appeared in [2, 4]. As an application we construct the partial (L;R)-smash product, extending the corresponding global notion appeared in [14] to the context of partial Hopf actions.

Related

• Morita equivalence and globalization for partial Hopf actions on nonunital algebras
• Globalization and the biactegory of partial modules
• Partial Smash Coproduct of Multiplier Hopf Algebras
• Partial Hopf module categories
• Enveloping Actions for Partial Hopf Actions