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Bialgebraic contexts from dualities

Part of: Other classes of algebra Abelian categories

Published online by Cambridge University Press:  09 April 2009

Keith A. Kearnes  and
Frank Vogt
Keith A. Kearnes
Affiliation:
Department of Mathematical SciencesUniversity of ArkansasFayetteville, AR 72701USA e-mail: kearnes@comp.uark.edu
Frank Vogt
Affiliation:
Fachbereich Mathematik Technische HochschuleDarmstadt Schoßgartenstraß 7 D-64289 DarmstadtGermany e-mail: vogt@mathematik.th-darmstadt.de
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Abstract

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In this paper we show that a bialgebraic context which arises from a duality in a fairly general way must arise from a duality between categories of modules. To show this, we give an elementary proof of Mitchell's Embedding Theorem for prevarieties.

MSC classification

Secondary: 08C05: Categories of algebras 18E20: Embedding theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 60 , Issue 3 , June 1996 , pp. 389 - 404
Copyright
Copyright © Australian Mathematical Society 1996

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