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2003•Journal of Nanchang UniversityRequires access

MODULE COALGEBRAS AND MORITA-TAKEUCHI CONTEXT

Zheng Nai-feng

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Abstract

Let H be a Hopf algebra and C a H-module coalgebra.Right H-comodule structure of C is defined and a smash coproduct coalgebra C×H is constructed using the concept of cointegral.C×H and CH is isomorphismed as coalgebra.Right H-comodule structure of C induces left H~0-module structure of C,and let =C/Kere_(H~0)C,C×H and have the Morita-Takeuchi context.

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Let H be a Hopf algebra and C a H-module coalgebra.Right H-comodule structure of C is defined and a smash coproduct coalgebra C×H is constructed using the concept of cointegral.C×H and CH is isomorphismed as coalgebra.Right H-comodule structure of C induces left H~0-module structure of C,and let =C/Kere_(H~0)C,C×H and have the Morita-Takeuchi context.

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Available abstract

Let H be a Hopf algebra and C a H-module coalgebra.Right H-comodule structure of C is defined and a smash coproduct coalgebra C×H is constructed using the concept of cointegral.C×H and CH is isomorphismed as coalgebra.Right H-comodule structure of C induces left H~0-module structure of C,and let =C/Kere_(H~0)C,C×H and have the Morita-Takeuchi context.

Key concepts: Coalgebra, Coproduct, Hopf algebra, Morita therapy, Context (archaeology), Pure mathematics, Algebra over a field, Mathematics

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