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ISSN 1201-561X

T A C

6

THEORY AND APPLICATIONS OF CATEGORIES

Volume 3, 1997

Higher dimensional Peiffer elements in simplicial commutative algebras

Z. Arvasi and T. Porter 1

Doctrines whose structure forms a fully faithful adjoint string

Francisco Marmolejo 24

Note on a theorem of Putnam’s

Michael Barr 45

Lax operad actions and coherence for monoidal categories, A

rings and modules

Gerald Dunn 50

Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories

J. R. B. Cockett and R. A. G. Seely 85

The reflectiveness of covering morphisms in algebra and geometry,

G. Janelidze and G. M. Kelly 132

c The Editors of Theory and Applications of Categories 1997. Permission to copy for private use granted.

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Theory and Applications of Categories,Vol. 3 ii

Crossed squares and 2-crossed modules of commutative algebras,

Zeker˙iya Arvas˙i 160

Monads and interpolads in bicategories,

J¨ urgen Koslowski 182

On Property-like Structures,

G. M. Kelly and Stephen Lack 213

Closed model categories for [n, m]-types,

J. Ignacio Extremiana Aldana, Luis J. Hern´ andez Paricio

and M. Teresa Rivas Rodr´ıguez 251

Multilinearity of sketches

David B. Benson 269

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Theory and Applications of Categories,Vol. 3 iii THEORY AND APPLICATIONS OF CATEGORIES (ISSN 1201-561X) will disseminate articles that significantly advance the study of categorical algebra or methods, or that make significant new contribu- tions to mathematical science using categorical methods. The scope of the journal includes: all areas of pure category theory, including higher dimensional categories; applications of category theory to algebra, geometry and topology and other areas of mathematics; applications of category theory to computer science, physics and other mathematical sciences; contributions to scientific knowledge that make use of categorical methods.

Articles appearing in the journal have been carefully and critically refereed under the responsibility of members of the Editorial Board. Only papers judged to be both significant and excellent are accepted for publication.

The method of distribution of the journal is via the Internet toolsWWW/ftp. The journal is archived electronically and in printed paper format.

Subscription information.

Individual subscribers receive (by e-mail) abstracts of articles as they are published. Full text of published articles is available in .dvi and Postscript format. Details will be e-mailed to new subscribers and are available by WWW/ftp. To subscribe, send e-mail to [email protected] including a full name and postal address. For institutional subscription, send enquiries to the Managing Editor, Robert Rosebrugh,[email protected].

Information for authors.

The typesetting language of the journal is TEX, and LaTEX is the preferred flavour. TEX source of articles for publication should be submitted by e-mail directly to an appropriate Editor. They are listed below. Please obtain detailed information on submission format and style files from the journal’s WWW server atURL http://www.tac.mta.ca/tac/ or by anonymous ftp from ftp.tac.mta.ca in the directory pub/tac/info. You may also write [email protected] to receive details by e-mail.

Editorial board.

John Baez, University of California, Riverside: [email protected] Michael Barr, McGill University: [email protected] Lawrence Breen, Universit´e de Paris 13: [email protected] Ronald Brown, University of North Wales: [email protected] Jean-Luc Brylinski, Pennsylvania State University: [email protected] Aurelio Carboni, Universit`a della Calabria: [email protected] P. T. Johnstone, University of Cambridge: [email protected] G. Max Kelly, University of Sydney: kelly [email protected] Anders Kock, University of Aarhus: [email protected]

F. William Lawvere, State University of New York at Buffalo: [email protected] Jean-Louis Loday, Universit´e de Strasbourg: [email protected]

Ieke Moerdijk, University of Utrecht: [email protected] Susan Niefield, Union College: [email protected]

Robert Par´e, Dalhousie University: [email protected] Andrew Pitts, University of Cambridge: [email protected]

Robert Rosebrugh, Mount Allison University: [email protected] Jiri Rosicky, Masaryk University: [email protected]

James Stasheff, University of North Carolina: [email protected] Ross Street, Macquarie University: [email protected] Walter Tholen, York University: [email protected]

Myles Tierney, Rutgers University: [email protected]

Robert F. C. Walters, University of Sydney: walters [email protected] R. J. Wood, Dalhousie University: [email protected]

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