On approximations of the de Rham complex and their cohomology. Issue 4 (3rd April 2018)

• Record Type: Journal Article
• Authors: Bavula, V. V.; Akcin, H. Melis Tekin
• Is Part Of: Communications in algebra. Volume 46:Issue 4(2018)
• Page Start: 1447
• Page End: 1463
• Publication Date: 2018-04-03
• Subjects: Algebra of power series -- approximations -- differentials -- the de Rham cohomology -- the de Rham complex -- polynomial algebra; 13D03 -- 13N05 -- 13N10 -- 13N15; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2017.1346109
• Languages: English
• ISSNs: 0092-7872

Abstract

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.