“School of Mathematics”
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| Paper IPM / M / 11528 |
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| Abstract: | |
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In this paper, we determine the structure of nonlocal commutative rings with p6 zero-divisors and characterize the structure of nonlocal commutative rings with p7 zero-divisors. Also, the structure and classification up to isomorphism all commutative rings with p1k1…pnkn zero-divisors, where n is a positive integer, pi,s are distinct prime number and 1 ≤ ki ≤ 4, are determined.
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