On approximations of the de Rham complex and their cohomology


Creative Commons License

Bavula V. V., TEKİN AKÇİN H. M.

COMMUNICATIONS IN ALGEBRA, cilt.46, sa.4, ss.1447-1463, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/00927872.2017.1346109
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1447-1463
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.