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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the arithmetic and homology of algebras of linear type


Authors: J. Herzog, A. Simis and W. V. Vasconcelos
Journal: Trans. Amer. Math. Soc. 283 (1984), 661-683
MSC: Primary 13F15; Secondary 13C15, 13D25
MathSciNet review: 737891
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Abstract: Three modifications of the symmetric algebra of a module are introduced and their arithmetical and homological properties studied. Emphasis is placed on converting syzygetic properties of the modules into ideal theoretic properties of the algebras, e.g. Cohen-Macaulayness, factoriality. The main tools are certain Fitting ideals of the module and an extension to modules of a complex of not necessarily free modules that we have used in studying blowing-up rings.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0737891-6
PII: S 0002-9947(1984)0737891-6
Keywords: Approximation complex, blowing-up ring, Cohen-Macaulay ring, $ d$-sequence, factorial domain, regular sequence, symmetric algebra
Article copyright: © Copyright 1984 American Mathematical Society