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arXiv · 2209.05950

Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal

Ahmed Gaber·Mona Tarek
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Abstract

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.

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Ahmed Gaber, Mona Tarek. 2022-09-10. Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal. https://arxiv.org/abs/2209.05950

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