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Vietnam Journal of Mathematics 36:3(2008) 305-313

 On Strictly Generalized PP Rings

Banh Duc Dung and Le Van Thuyet

Abstract.  A ring R is called strictly generalized right PP if for any nonzero element x R, there exists a positive integer n such that xⁿ 0 and the right ideal xⁿR is projective. The class of strictly generalized PP rings is a new class of generalized PP rings and contains PP rings. In this paper, many properties of these rings are studied and some characterizations of von Neumann regular rings and PP rings are extended.

2000 Mathematics Subject Classification: 16D50, 16D25, 16E50.

Keywords: PP ring, generalized PP ring, strictly generalized PP ring, P-injective module C2-ring, von Neumann regular ring.

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Published by Springer since January 2013