On approximations of the de Rham complex and their cohomology

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Bavula V. V., TEKİN AKÇİN H. M.

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

  • Publication Type: Article / Article
  • Volume: 46 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.1080/00927872.2017.1346109
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1447-1463
  • Hacettepe University Affiliated: Yes

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.