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Pairings on the algebra of Laurent series over a ring
Abstract
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity.
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BibTeX
@misc{levashev2026pairings,
title = {{Pairings on the algebra of Laurent series over a ring}},
author = {Vladislav Levashev},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06010},
eprint = {2609.06010},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06010},
}
RIS
TY - UNPB
TI - Pairings on the algebra of Laurent series over a ring
AU - Vladislav Levashev
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.06010
UR - https://arxiv.org/abs/2609.06010
AB - We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity.
ER -