Document Zbl 0419.13013

Algebra structures on minimal resolutions of Gorenstein rings of embedding codimension four. (English) Zbl 0419.13013

Math. Z. 173, 171-184 (1980).

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MSC:

13H10	Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
13A15	Ideals and multiplicative ideal theory in commutative rings
18G10	Resolutions; derived functors (category-theoretic aspects)
13N05	Modules of differentials

Keywords:

Gorenstein local ring; minimal finite free resolution; differential graded commutative algebras

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Full Text: DOI EuDML

References:

[1]	Avramov, L.: On the Hopf algebra of a local ring, Appendix by V. Khinich. Izv. Akad. Nauk SSSR Ses. Mat.38, 253-277 (1974) [Russ.] Engl. Transl. Math. USSR-Izv.8, 259-284 (1974) · Zbl 0295.13005
[2]	Bass, H.: On the ubiquity of Gorenstein rings. Math. Z.82, 8-28 (1963) · Zbl 0112.26604 · doi:10.1007/BF01112819
[3]	Buchsbaum, D., Eisenbud, D.: Algebra structures for finite free resolutions. Amer. J. Math.99, 447-485 (1977) · Zbl 0373.13006 · doi:10.2307/2373926
[4]	Craven, T., Rosenberg, A., Ware, R.: The map of the Witt ring of a domain into the Witt ring of its field of fractions. Proc. Amer. Math. Soc.51, 25-30 (1975) · Zbl 0313.13025 · doi:10.1090/S0002-9939-1975-0384789-1
[5]	Hochster, M., Roberts, J.: Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay. Advances in Math.13, 115-175 (1974) · Zbl 0289.14010 · doi:10.1016/0001-8708(74)90067-X
[6]	Kaplansky, I.: Commutative Rings, rev. ed. Chicago: University of Chicago Press 1974 · Zbl 0296.13001
[7]	Knebusch, M.: Specialization of quadratic and symmetric bilinear forms, and norm theorem. Acta. Arith.24, 279-299 (1973) · Zbl 0287.15010
[8]	Lang, S.: Algebra. Reading, Mass.: Addison-Wesley, 1970
[9]	Peskine, C., Szpiro, L.: Liaison des variétés algébriques I, Invent. Math.26, 271-302 (1974) · Zbl 0298.14022 · doi:10.1007/BF01425554
[10]	Sally, J.: Numbers of Generators of Ideals in Local Rings. New York: Marcel Dekker 1978 · Zbl 0395.13010

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