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On the structure of factorization structures

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Category Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 962))

Abstract

For any category K we investigate the family of all factorization structures on K. In particular, for each such structure, (E,M), we investigate the complete lattice of all factorization structures on K with left factor a subclass of E; this investigation is based on a Galois connection between all such structures and the lattice of all full isomorphism-closed subcategories of K. The Galois-closed families are precisely all the E-reflective subcategories of K and all the (E,M)-dispersed factorization structures of Herrlich, Salicrup and Vazquez.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Wichita State University, 67208, Wichita, Kansas, USA

    A. Melton

  2. Department of Mathematics, Kansas State University, 66506, Manhattan, Kansas, USA

    G. E. Strecker

Authors
  1. A. Melton
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  2. G. E. Strecker
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Editor information

Klaus Heiner Kamps Dieter Pumplün Walter Tholen

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© 1982 Springer-Verlag

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Melton, A., Strecker, G.E. (1982). On the structure of factorization structures. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066899

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  • DOI: https://doi.org/10.1007/BFb0066899

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11961-6

  • Online ISBN: 978-3-540-39550-8

  • eBook Packages: Springer Book Archive

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