On approximations of the de Rham complex and their cohomology |
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| Authors: | V V Bavula H Melis Tekin Akcin |
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| Institution: | 1. Department of Pure Mathematics, University of She?eld, She?eld, UKv.bavula@sheffield.ac.uk;3. Department of Mathematics, Hacettepe University, Beytepe, Ankara, Turkey |
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| 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. |
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| Keywords: | Algebra of power series approximations differentials the de Rham cohomology the de Rham complex polynomial algebra |
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