Finite generation of Hochschild homology algebras |
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| Authors: | Luchezar L Avramov Srikanth Iyengar |
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| Institution: | Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA?(e-mail: avramov@math.purdue.edu), US
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA?(e-mail: s.iyengar@sheffield.ac.uk), US
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| Abstract: | We prove converses of the Hochschild-Kostant-Rosenberg Theorem, in particular: If a commutative algebra S is flat and essentially of finite type over a noetherian ring , and the Hochschild homology HH
*
(S|) is a finitely generated S-algebra for shuffle products, then S is smooth over .
Oblatum 27-V-1999 & 27-IX-1999 / Published online: 24 January 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 13D99 13C40 18G15 |
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