Approximation complexes of integral symmetric algebras |
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Authors: | Gaetana Restuccia |
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Institution: | 1. Dipartimento di Matematica, Università di Messina, Contrada Papardo, Salita Sperone, 31, 98166, Sant’Agata, Messina
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Abstract: | LetR be a regular ring containing a fieldk andE be a finitely generatedR-module of projective dimension two and with the second Betti number two or three. We prove sufficient conditions for the moduleE admitting an acyclic approximation complex. The argument implies that the symmetric algebra ofE is an integral domain. |
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