On the Structure of Commutative Rings with ${\bf {p_1}^{k_1}\cdots {p_n}^{k_n} Zero Divisors II

Authors

  • Mahmood Behboodi
  • Reza Beyranvand

Keywords:

Finite ring, Zero-divisor, Local ring

Abstract

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≤Âki≤4, are determined.

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Published

2010-09-02

Issue

Vol. 3 No. 4: (July 2010)

Section

Algebra

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How to Cite

On the Structure of Commutative Rings with ${\bf {p_1}^{k_1}\cdots {p_n}^{k_n} Zero Divisors II. (2010). European Journal of Pure and Applied Mathematics, 3(4), 686-694. https://www.ejpam.com/index.php/ejpam/article/view/753