Freeness conditions for quadratic modules and quadratic chain complexes

ARVASİ Z., ULUALAN E.

GEORGIAN MATHEMATICAL JOURNAL, vol.18, no.4, pp.615-637, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 4
  • Publication Date: 2011
  • Doi Number: 10.1515/gmj.2011.0049
  • Journal Name: GEORGIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.615-637
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

We show how to construct a free or a totally free quadratic module on suitable construction data by using free simplicial groups. Similar freeness results are also explored for quadratic chain complexes.