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Communications in Algebra Volume 38, 2010 - Issue 8
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Original Articles

Isomorphism Types of Artinian Gorenstein Local Algebras of Multiplicity at Most 9

Gianfranco Casnati Dipartimento di Matematica, Politecnico di Torino, Torino, ItalyCorrespondence[email protected]
Pages 2738-2761 | Received 25 Aug 2008, Published online: 18 Aug 2010
 
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Abstract

Let k be an algebraically closed field of characteristic 0. We give here a complete classification of local commutative, associative, Artinian, Gorenstein k-algebras with unit, up to multiplicity 9.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

The author express his thanks both to the editor, S. Goto, and to the referee for their comments and suggestions.

Notes

Communicated by S. Goto.

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