DU Xian-neng
Abstract
In this paper,we define GNPP ring as follows: A ring R is called a left GNPP Ring if for every 0≠a∈N(R),there exists a positive integer n such that an≠0 and Ran is a projective left R-module.We show some relations between GNPP rings and π-N-regular ring and give some characterizations of GNPP rings.
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In this paper,we define GNPP ring as follows: A ring R is called a left GNPP Ring if for every 0≠a∈N(R),there exists a positive integer n such that an≠0 and Ran is a projective left R-module.We show some relations between GNPP rings and π-N-regular ring and give some characterizations of GNPP rings.
Key concepts: Ring (chemistry), Primitive ring, Mathematics, Integer (computer science), Principal ideal ring, Reduced ring, Combinatorics, Simple ring