Gorenstein property and symmetry for one dimensional local Cohen-Macaulay rings.
K. Kiyek, A. Compillo, F. Delgado (1994)
Manuscripta mathematica
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K. Kiyek, A. Compillo, F. Delgado (1994)
Manuscripta mathematica
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Mark Johnson, Bernd Ulrich (1996)
Compositio Mathematica
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Judith D. Sally (1980)
Mathematische Annalen
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Olga Lavila-Vidal, Santiago Zarzuela (1998)
Collectanea Mathematica
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Fangdi Kong, Dejun Wu (2018)
Czechoslovak Mathematical Journal
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We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms.
Manfred Herrmann, J. Ribbe, Eero Hyry (1993)
Manuscripta mathematica
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Manfred Herrmann, Shin Ideda (1987)
Manuscripta mathematica
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W.V. Vasconcelos, S. Morey, S. Noh (1995)
Manuscripta mathematica
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M. Herrmann, S. Goto, K. Nishida (1990)
Manuscripta mathematica
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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.
R. Hübl, C. Huneke (2001)
Collectanea Mathematica
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Let (R,m) be a Noetherian local ring and let I C R be an ideal. This paper studies the question of when m I is integrally closed. Particular attention is focused on the case R is a regular local ring and I is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.
Ian M. Aberbach, Craig Huneke, Ngô Viêt Trung (1995)
Compositio Mathematica
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