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BY-NC-ND 3.0 license Open Access Published by De Gruyter May 8, 2014

Finitely continuous differentials on generalized power series

  • I-Chiau Huang EMAIL logo
From the journal Mathematica Slovaca


Let κ[[eG]] be the field of generalized power series with exponents in a totally ordered Abelian group G and coefficients in a field κ. Given a subgroup H of G such that G/H is finitely generated, we construct a vector space ΩG/H of differentials as a universal object in certain category of κ[[eH]]-derivations on κ[[eG]]. The vector space ΩG/H together with logarithmic residues gives rise to a framework for certain combinatorial phenomena, including the inversion formula for diagonal delta sets.

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Published Online: 2014-5-8
Published in Print: 2014-4-1

© 2014 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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