Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2010 / Cilt: 3 - Sayı: 4
On the structure of commutative rings with $P _1^{k1 . . .} P_n ^ {kn}$ (1 ≤ $k _i$ ≤ 7) zero-divisors II
- Pages
- 686–694
- DOI
- —
Abstract
In this paper, we determine the structure of nonlocal commutative rings with $P^6$zerodivisors and characterize the structure of nonlocal commutative rings with $P^7$ zero-divisors. Also, the structure and classification up to isomorphism all commutative rings with $P _1^{k1} . . . P_n ^ {kn}$zero-divisors, where n is a positive integer, pi ,s are distinct prime number and 1 ≤ ki ≤ 4, are determined. 2000 Mathematics Subject Classifications: 16B99; 13A99; 68R10