On the ring of quotients of a noetherian commutative ring with respect to the Dickson topology
Alberto Facchini (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Alberto Facchini (1980)
Rendiconti del Seminario Matematico della Università di Padova
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M. Ghadermazi, O. A. S. Karamzadeh, M. Namdari (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Chen, Huanyin, Chen, Miaosen (2003)
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Thomas Grill, Manfred Knebusch, Marcus Tressl (2002)
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Jiang Luh (1976)
Fundamenta Mathematicae
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David Rudd (1972)
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Chen, Weixing (2007)
International Journal of Mathematics and Mathematical Sciences
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Joachim Reineke (1977)
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Andrzej Tyc (1979)
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Carl Faith (1996)
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A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a von Neuman regular ring. We prove two theorems and a conjecture of Shamsuddin that characterize when R itself is a von Neumann ring, using a splitting theorem of the author on when the maximal regular ideal of a ring splits off.
F. Azarpanah, O. A. S. Karamzadeh, S. Rahmati (2015)
Colloquium Mathematicae
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