Note on the Integral Group Ring Problem.
Robert Sandling (1972)
Mathematische Zeitschrift
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Robert Sandling (1972)
Mathematische Zeitschrift
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Czes Kosniowski (1976)
Mathematische Zeitschrift
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Eero Hyriy (1993)
Manuscripta mathematica
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Bernd Kind, Kleinschmidt, Peter (1979)
Mathematische Zeitschrift
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Bernd Ulrich, Wolmer V. Vasconcelos (1993)
Mathematische Zeitschrift
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Molinelli, S., Patil, D.P., Tamone, G. (1998)
Beiträge zur Algebra und Geometrie
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Ferruccio Orecchia (1980)
Manuscripta mathematica
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M. Herrmann, J. Ribbe, P. Schenzel (1993)
Mathematische Zeitschrift
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Mitsuo Hoshino, Noritsugu Kameyama, Hirotaka Koga (2015)
Colloquium Mathematicae
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Starting from an arbitrary ring R we provide a systematic construction of ℤ/nℤ-graded rings A which are Frobenius extensions of R, and show that under mild assumptions, A is an Auslander-Gorenstein local ring if and only if so is R.
Alex Rosenberg (1954/55)
Mathematische Zeitschrift
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Mirosław Uscki (1988)
Colloquium Mathematicae
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Z. Fiedorowicz, R. Schwänzl, R. Vogt (1990)
Mathematische Zeitschrift
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Michela Brundu (1987)
Manuscripta mathematica
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Peter Jørgensen (2003)
Fundamenta Mathematicae
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Let A be a noetherian local commutative ring and let M be a suitable complex of A-modules. It is proved that M is a dualizing complex for A if and only if the trivial extension A ⋉ M is a Gorenstein differential graded algebra. As a corollary, A has a dualizing complex if and only if it is a quotient of a Gorenstein local differential graded algebra.
Veluppillai Tharmaratnam (1970)
Mathematische Zeitschrift
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Overtoun M.G. Jenda (1988)
Mathematische Zeitschrift
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K.R. Goodearl, R.B. Jr. Warfield (1982)
Mathematische Zeitschrift
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