On 2-absorbing z-filters

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

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, vol.61, no.2, pp.147-155, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 2
  • Publication Date: 2018
  • Journal Name: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.147-155
  • Keywords: Ring of continuous functions, z-filters, 2-absorbing z-filters, COMMUTATIVE RINGS, IDEALS
  • Yıldız Technical University Affiliated: Yes

Abstract

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.