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Weak factorization systems for S-acts

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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 Rosický. 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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Authors and Affiliations

  1. Department of Mathematics, University of Southampton, Southampton, SO17 1BJ, England, UK

    Alex Bailey & James Renshaw

Authors
  1. Alex Bailey
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  2. James Renshaw
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Correspondence to James Renshaw.

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Communicated by Gracinda Gomes.

For John.

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Bailey, A., Renshaw, J. Weak factorization systems for S-acts. Semigroup Forum 89, 52–67 (2014). https://doi.org/10.1007/s00233-013-9519-2

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  • DOI: https://doi.org/10.1007/s00233-013-9519-2

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