On 2-absorbing z-filters

Bilgin Z., Demir E., Oral H. K.

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, cilt.61, sa.2, ss.147-155, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 2
  • Basım Tarihi: 2018
  • Dergi Adı: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.147-155
  • Anahtar Kelimeler: Ring of continuous functions, z-filters, 2-absorbing z-filters, COMMUTATIVE RINGS, IDEALS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, 2-absorbing z-filters on a topological space X are defined and their general properties are examined. Moreover, the convergence of 2-absorbing z-filters is studied. A correspondence between 2-absorbing z-filters on X and 2-absorbing z-ideals of the ring C(X) of all real-valued continuous functions on X is given.