On characterization of reflection and coreflection in categories
DOI:
https://doi.org/10.22199/S07160917.1999.0002.00005Keywords:
Reflection, Reflective subcategory, dense subcategory, GPB category, GPO category, GPB functor·, GPO functor, GeneratorAbstract
The main purpose of the present paper is to present a criteria of reflection and its dual through generalized pushout (GPO) and generalized pullback (GPB) structures. Several results related to reflective and coreflective subcategories are obtained.
References
1. P. J. Freyd, Abelian categories, Harper and Row, (1964).
2. H. Herrlich and G. E. Strecker, Category Theory, Heldermann Verleg Berlin, (1979).
3. M. A. Kazim and S. M. A. Zaidi, On generalized and super pullbacks, Aligarh Bull. Math., 1, pp. 61-71, (1971).
4. M. A. Kazim and S. M. A. Zaidi, On characterization of a complete category, Tamkang J. Math., 10, pp. 205-215, (1979).
5. J. F. Kennison, A note on reflection maps Illinois J. Math., 11, pp. 404-409, (1967).
2. H. Herrlich and G. E. Strecker, Category Theory, Heldermann Verleg Berlin, (1979).
3. M. A. Kazim and S. M. A. Zaidi, On generalized and super pullbacks, Aligarh Bull. Math., 1, pp. 61-71, (1971).
4. M. A. Kazim and S. M. A. Zaidi, On characterization of a complete category, Tamkang J. Math., 10, pp. 205-215, (1979).
5. J. F. Kennison, A note on reflection maps Illinois J. Math., 11, pp. 404-409, (1967).
Published
2018-04-04
How to Cite
[1]
H. A. S. Abujabal and S. M. A. Zaidi, “On characterization of reflection and coreflection in categories”, Proyecciones (Antofagasta, On line), vol. 18, no. 2, pp. 175-182, Apr. 2018.
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