Bavula, V.V. and Akcin, H.M.T. (2018) On approximations of the de Rham complex and their cohomology. Communications in Algebra, 46 (4). pp. 1447-1463. ISSN 0092-7872
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Taylor & Francis. This is an author-produced version of a paper subsequently published in Communications in Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Algebra of power series; approximations; differentials; the de Rham cohomology; the de Rham complex; polynomial algebra |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Nov 2017 16:00 |
Last Modified: | 20 Oct 2023 14:52 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.1080/00927872.2017.1346109 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:124641 |