Displaying similar documents to “Normal smash products.”

The structure of corings with a grouplike element

Tomasz Brzeziński (2003)

Banach Center Publications

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Characteristic properties of corings with a grouplike element are analysed. Associated differential graded rings are studied. A correspondence between categories of comodules and flat connections is established. A generalisation of the Cuntz-Quillen theorem relating existence of connections in a module to projectivity of this module is proven.

On generalized partial twisted smash products

Shuangjian Guo (2014)

Czechoslovak Mathematical Journal

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We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product, and consider some examples. Furthermore, we introduce the notion of a generalized partial twisted smash product and discuss a necessary condition under which such partial smash product forms a Hopf algebra. Based on these notions and properties, we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra.