On approximations of the de Rham complex and their cohomology


Bavula V. V. , TEKİN AKÇİN H. M.

COMMUNICATIONS IN ALGEBRA, vol.46, no.4, pp.1447-1463, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.1080/00927872.2017.1346109
  • Title of Journal : COMMUNICATIONS IN ALGEBRA
  • Page Numbers: pp.1447-1463

Abstract

For a commutative algebra R, its de Rham cohomology is an important invariant of R. In the paper, an infinite chain of de Rham-like complexes is introduced where the first member of the chain is the de Rham complex. The complexes are called approximations of the de Rham complex. Their cohomologies are found for polynomial rings and algebras of power series over a field of characteristic zero.