Weak smash products, weak braided products and weak Hopf quantum Yang–Baxter modules

Abstract

This paper mainly gives a sufficient and necessary condition for weak smash products of weak dimodule algebras to be weak bialgebras, and gives a sufficient and necessary condition for weak braided products of weak quantum Yang–Baxter module algebras to be weak bialgebras, and gives a fundamental theorem of weak Hopf quatum Yang–Baxter modules.

Keywords:

• weak Hopf algebras
• weak smash products
• weak braided products
• weak quantum Yang–Baxter modules