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Title: On involutive monoidal categories
Related: Theory and applications of categories, Vol. 25, No. 14, (2011), p.368-393
Related: http://www.tac.mta.ca/tac/volumes/25/14/25-14.pdf
Publisher: Mount Allison University
Date: 2011
Author/Creator: Egger, J. M
Description: In this paper, we consider a non-posetal analogue of the notion of involutive quantale [MP92]; specifically, a (planar) monoidal category equipped with a covariant involution that reverses the order of tensoring. We study the coherence issues that inevitably result when passing from posets to categories; we also link our subject with other notions already in the literature, such as balanced monoidal categories [JS91] and dagger pivotal categories [Se109].
Description: 26 page(s)
Subject Keyword: Balances
Subject Keyword: Braidings
Subject Keyword: Coherence theorems
Subject Keyword: Dagger pivotal categories
Subject Keyword: Involutive monoidal categories
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

Identifier: http://hdl.handle.net/1959.14/146807
Identifier: ISSN:1201-561X
Identifier: mq_res-ext-2-s2.0-80053047991
Language: eng
Rights: Copyright the Author(s) [2011]. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
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