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An Embedding Theorem for Abelian Monoidal Categories

Published online by Cambridge University Press:  04 December 2007

Phùng Hô` Ha'i
Phùng Hô` Ha'i
Affiliation:
Hanoi Institute of Mathematics, PO Box 631, 10000 Bo Ho, Hanoi, Vietnam. E-mail: phung@thevinh.ncst.ac.vn
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Abstract

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We show that, with some technical conditions, an Abelian monoidal category admits a monoidal embedding into the category of bimodules over a ring. The case of semisimple rigid monoidal categories is studied in more detail.

Keywords

embedding theoremmonoidal category
Type
Research Article
Information
Compositio Mathematica , Volume 132 , Issue 1 , May 2002 , pp. 27 - 48
Copyright
© 2002 Kluwer Academic Publishers