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Weak factorization systems for S-acts

Weak factorization systems for S-acts
Weak factorization systems for S-acts
The concept of a weak factorization system has been studied extensively in homotopy theory and has recently found an application in one of the proofs of the celebrated flat cover conjecture, categorical versions of which have been presented by a number of authors including Rosicky. One of the main aims of this paper is to draw attention to this interesting concept and to initiate a study of these systems in relation to flatness of S-acts and related concepts.
semigroups, monoids, s-acts, covers, weak factorization systems, flatness
0037-1912
52-67
Bailey, Alex
cd2762de-6a67-4ffc-ab42-2842ca378fa8
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
Bailey, Alex
cd2762de-6a67-4ffc-ab42-2842ca378fa8
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c

Bailey, Alex and Renshaw, James (2014) Weak factorization systems for S-acts. Semigroup Forum, 89 (1), 52-67. (doi:10.1007/s00233-013-9519-2).

Record type: Article

Abstract

The concept of a weak factorization system has been studied extensively in homotopy theory and has recently found an application in one of the proofs of the celebrated flat cover conjecture, categorical versions of which have been presented by a number of authors including Rosicky. One of the main aims of this paper is to draw attention to this interesting concept and to initiate a study of these systems in relation to flatness of S-acts and related concepts.

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Accepted/In Press date: 15 July 2013
e-pub ahead of print date: 23 August 2013
Published date: 23 August 2014
Keywords: semigroups, monoids, s-acts, covers, weak factorization systems, flatness
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 347854
URI: http://eprints.soton.ac.uk/id/eprint/347854
DOI: doi:10.1007/s00233-013-9519-2
ISSN: 0037-1912
PURE UUID: 85585eb4-4300-4db0-8653-f4e9ffe55783
ORCID for James Renshaw: ORCID iD orcid.org/0000-0002-5571-8007

Catalogue record

Date deposited: 31 Jan 2013 13:56
Last modified: 15 Mar 2024 02:40

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Contributors

Author: Alex Bailey
Author: James Renshaw ORCID iD

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