On -flat modules and -von Neumann regular rings.
Mahdou, Najib (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Semisimplicity and global dimension of a finite von Neumann algebra”
On -flat modules and -von Neumann regular rings.
Semisimple ring spectra.
Hovey, Mark, Lockridge, Keir (2009)
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Von Neumann regular rings and the Whitehead property of modules
Jan Trlifaj (1990)
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Maximal Orders in an Azumaya Algebra over a Von Neumann Regular Ring
Bo Stenström (1980)
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On Von Neumann regular rings, X.
Roger Yue Chi Ming (1983)
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New characterizations of von Neumann regular rings and a conjecture of Shamsuddin.
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.
On non singular p-inyective rings.
Yasuyuki Hirano (1994)
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A ring R is said to be if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.
Self-injective Von Neumann regular subrings and a theorem of Pere Menal.
Carl Faith (1992)
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This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR) rings, especially his work listed in the bibliography on when the tensor product K = A ⊗ B of two algebras over a field k are right self-injective (= SI) or VNR. Pere showed that then A and B both enjoy the same property, SI or VNR, and furthermore that either A and B are algebraic algebras over k (see [M]). This is connected with a lemma in the proof of the , namely a finite ring extension K = k[a,...