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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1531–1555
DOI: https://doi.org/10.33048/semi.2021.18.115
(Mi semr1459)
 

Mathematical logic, algebra and number theory

On compressed zero-divisor graphs of finite commutative local rings

E. V. Zhuravlev, O. A. Filina

Altai State University, 61, Lenina ave., Barnaul, 656049, Russia
References:
Abstract: We describe the compressed zero-divisor graphs of a commutative finite local rings $R$ of characteristic $p$ with Jacobson radical $J$ such that $J^4=(0)$, $F=R/J\cong GF(p^r)$ and ${\dim_F J/J^2=2}$, ${\dim_F J^2/J^3=2}$, ${\dim_F J^3=1}$ or ${\dim_F J/J^2=3}$, ${\dim_F J^2/J^3=1}$, ${\dim_F J^3=1}$.
Keywords: finite ring, local ring, zero-divisor graph.
Received August 19, 2021, published December 3, 2021
Bibliographic databases:
Document Type: Article
UDC: 512.55
MSC: 16P10
Language: English
Citation: E. V. Zhuravlev, O. A. Filina, “On compressed zero-divisor graphs of finite commutative local rings”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1531–1555
Citation in format AMSBIB
\Bibitem{ZhuFil21}
\by E.~V.~Zhuravlev, O.~A.~Filina
\paper On compressed zero-divisor graphs of finite commutative local rings
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1531--1555
\mathnet{http://mi.mathnet.ru/semr1459}
\crossref{https://doi.org/10.33048/semi.2021.18.115}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000035}
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