Finitely continuous differentials on generalized power series
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AbstractLet 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.
1970 ◽
Vol 13
(1)
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pp. 151-152
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2011 ◽
Vol 10
(03)
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pp. 377-389
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2010 ◽
Vol 17
(spec01)
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pp. 799-802
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2012 ◽
Vol 14
(03)
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pp. 1250017
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1990 ◽
pp. 271-277
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2016 ◽
Vol 28
(4)
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pp. 472-507
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