On Free Quadratic Modules of Commutative Algebras


ODABAŞ A. , ULUALAN E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.39, no.3, pp.1059-1074, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s40840-015-0197-y
  • Title of Journal : BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Page Numbers: pp.1059-1074

Abstract

In this paper, we give a construction of (totally) free quadratic modules of commutative algebras on suitable construction data in terms of free simplicial algebras. Similar freeness results are also explored for reduced quadratic modules and quadratic (chain) complexes of algebras.