Annihilator graphs of MV-algebras

Aiping Gan; Yichuan Yang

doi:10.1142/S0219498821501887

Annihilator graphs of MV-algebras

Aiping Gan
, Yichuan Yang^*

^*此作品的通讯作者

数学科学学院

Jiangxi Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

In this paper, we introduce the annihilator graph AG(A) of an MV-algebra A. We show that AG(A) contains the zero-divisor graph ZG(A) as a spanning subgraph. We then prove that AG(A) = ZG(A) if and only if |A|≤ 4. Moreover, we obtain that the girth gr(AG(A)) {3, 4,∞}.

源语言	英语
文章编号	2150188
期刊	Journal of Algebra and its Applications
卷	20
期	10
DOI	https://doi.org/10.1142/S0219498821501887
出版状态	已出版 - 1 10月 2021

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AB - In this paper, we introduce the annihilator graph AG(A) of an MV-algebra A. We show that AG(A) contains the zero-divisor graph ZG(A) as a spanning subgraph. We then prove that AG(A) = ZG(A) if and only if |A|≤ 4. Moreover, we obtain that the girth gr(AG(A)) {3, 4,∞}.

KW - Annihilator graphs

KW - MV-algebras

KW - MV-semirings

KW - Zero-divisor graphs

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Annihilator graphs of MV-algebras

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