On characterization of reflection and coreflection in categories

• Abujabal, Hamza A. S. ^[1] ; Zaidi, S. M. A. ^[2]
  1. [1] King Abdul Aziz University Hospital

     King Abdul Aziz University Hospital

     Arabia Saudí

     
  2. [2] Aligrah Muslim University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 2, 1999, págs. 175-182
• Idioma: inglés
• DOI: 10.22199/S07160917.1999.0002.00005
• Enlaces
  • Texto completo
• Resumen

  • 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.

• Referencias bibliográficas
  • Citas 1. P. J. Freyd, Abelian categories, Harper and Row, (1964).
  • H. Herrlich and G. E. Strecker, Category Theory, Heldermann Verleg Berlin, (1979).
  • M. A. Kazim and S. M. A. Zaidi, On generalized and super pullbacks, Aligarh Bull. Math., 1, pp. 61-71, (1971).
  • M. A. Kazim and S. M. A. Zaidi, On characterization of a complete category, Tamkang J. Math., 10, pp. 205-215, (1979).
  • J. F. Kennison, A note on reflection maps Illinois J. Math., 11, pp. 404-409, (1967).