The equality in Buchsbaum rings
Shiro Goto, Hideto Sakurai (2003)
Rendiconti del Seminario Matematico della Università di Padova
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Shiro Goto, Hideto Sakurai (2003)
Rendiconti del Seminario Matematico della Università di Padova
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Ian M. Aberbach, Craig Huneke, Ngô Viêt Trung (1995)
Compositio 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.
Mark Johnson, Bernd Ulrich (1996)
Compositio Mathematica
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Peter Schenzel (1983)
Journal für die reine und angewandte Mathematik
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Cortes, Wagner (2008)
International Journal of Mathematics and Mathematical Sciences
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M. Herrmann, J. Ribbe, P. Schenzel (1993)
Mathematische Zeitschrift
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M. Herrmann, U. Grothe, U. Orbanz (1984)
Mathematische Zeitschrift
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)
Fundamenta Mathematicae
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Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and...
Giuseppe Baccella (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Roger Yue Chi Ming (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Ravinder Kumar, Kanchan Manaktala (1975)
Publications de l'Institut Mathématique
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