BIDUAL OF r-ALGEBRAS

Yilmaz R.

UKRAINIAN MATHEMATICAL JOURNAL, vol.63, no.5, pp.833-837, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 5
  • Publication Date: 2011
  • Doi Number: 10.1007/s11253-011-0546-4
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.833-837
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

We prove that the order continuous bidual of an Archimedean r-algebra is a Dedekind complete r-algebra with respect to the Arens multiplications.