On the Gorenstein property of form rings.
M. Herrmann, J. Ribbe, P. Schenzel (1993)
Mathematische Zeitschrift
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M. Herrmann, J. Ribbe, P. Schenzel (1993)
Mathematische Zeitschrift
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John A. Eagon (1969)
Mathematische Zeitschrift
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Bernd Ulrich (1984/85)
Mathematische Zeitschrift
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Andrew R. Kustin, Matthew Miller (1985)
Mathematische Zeitschrift
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William Teter (1974)
Inventiones mathematicae
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K.R. Goodearl, R.B. Jr. Warfield (1982)
Mathematische Zeitschrift
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Günter Krause (1970)
Mathematische Zeitschrift
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Hyman Bass (1963)
Mathematische Zeitschrift
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Samir Bouchiba (2013)
Colloquium Mathematicae
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We present an alternative way of measuring the Gorenstein projective (resp., injective) dimension of modules via a new type of complete projective (resp., injective) resolutions. As an application, we easily recover well known theorems such as the Auslander-Bridger formula. Our approach allows us to relate the Gorenstein global dimension of a ring R to the cohomological invariants silp(R) and spli(R) introduced by Gedrich and Gruenberg by proving that leftG-gldim(R) = maxleftsilp(R),...
J.M. Gamboa, J.M. Ruiz (1991)
Mathematische Zeitschrift
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Peter Schenzel (1983)
Journal für die reine und angewandte Mathematik
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Francis L. Sandomierski (1973)
Mathematische Zeitschrift
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Driss Bennis (2010)
Actes des rencontres du CIRM
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This text gives a short overview of the recent works on Gorenstein global dimension of rings.