Quotient-reflective and bireflective subcategories of the category of preordered sets

BARAN M., AL-SAFAR J.

TOPOLOGY AND ITS APPLICATIONS, cilt.158, sa.15, ss.2076-2084, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 158 Sayı: 15
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.topol.2011.06.043
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2076-2084
  • Erciyes Üniversitesi Adresli: Evet

Özet

In previous papers, the notions of "closedness" and "strong closedness" in set-based topological categories were introduced. In this paper, we give the characterization of closed and strongly closed subobjects of an object in the category Prord of preordered sets and show that they form appropriate closure operators which enjoy the basic properties like idempotency (weak) hereditariness, and productivity.