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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

M. BEHBOODI
R. BEYRANVAND
Pages
686–694
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data:Also, the structure and classification up to isomorphism all commutative rings with $P _1^{k1} . . .
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Conclusion & Impact:P_n ^ {kn}$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
🔬Design:Research Article
📍Scope:2000 Verileri
⚙️Variables:Domain Parameters

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

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Cite This Article

BEHBOODI, M., BEYRANVAND, R. (2022). On the structure of commutative rings with $P _1^{k1 . . .} P_n ^ {kn}$ (1 ≤ $k _i$ ≤ 7) zero-divisors II. European Journal of Pure and Applied Mathematics (elektronik), Cilt: 3 - Sayı: 4, 686–694. https://ajindex.com/articles/511367

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References (7)

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