On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings

Kazanci O., Davvaz B.

INFORMATION SCIENCES, cilt.178, sa.5, ss.1343-1354, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 178 Sayı: 5
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.ins.2007.10.005
  • Dergi Adı: INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1343-1354
  • Anahtar Kelimeler: fuzzy set, rough set, lower approximation, upper approximation, ring, ideal, prime ideal, primary ideal, fuzzy ideal, APPROXIMATION OPERATORS, SETS, SEMIGROUPS, SUBMODULES, RADICALS, MODULES, LATTICE, VIEW
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

This paper is a continuation of ideas presented by Davvaz [Roughness in rings, Inform. Sci., 164 (2004) 147-163; Roughness based on fuzzy ideals, Inform. Sci., 176 (2006) 2417-2437]. We introduce the notions of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in a ring, and give some properties of such ideals. Also, we discuss the relations between the upper and lower rough prime (primary) ideals and the upper and lower approximations of their homomorphism images. (C) 2007 Elsevier Inc. All rights reserved.