论文标题
相对于理想的晶格的零除法
Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal
论文作者
论文摘要
在本文中，我们指出了[M.Afkhami，K.Khashyarmanesh和K.Nafar的几个错误，关于理想的晶格的零除数图，Beitr代数Geom（2015），217-225。]。在上一篇文章中，阿夫卡米（Afkhami）声称，属于分布晶格的理想i的所有主要理想的交集等于我。阿夫卡米（Afkhami）展示了某个定理的反例，该定理满足了定理的必要条件和足够条件。另一方面，我们改革了阿夫卡米（Afkhami）的文章中的许多证据。
In this paper, we point out several errors in [M.Afkhami, K.Khashyarmanesh and K.Nafar, Zero divisor graph of a lattice with respect to an ideal, Beitr Algebra Geom (2015), 217-225.]. In the previous article, Afkhami claimed that the intersection of all prime ideals belonging to an ideal I of a distributive lattice L equals to I. In this corrigendum, a counterexample for this sentence is constructed. Afkhami demonstrate a counterexample to a certain theorem which satisfies the necessary and the sufficient condition of the theorem. On the other hand, we reform many proofs in Afkhami's article.
