Describing ring varieties in which all finite rings have Hamiltonian zero-divisor graphs

Autor:	A. S. Kuz’mina, Yu. N. Mal'tsev
Rok vydání:	2013
Předmět:	Discrete mathematics Finite ring Noncommutative ring Logic Symmetric graph 1-planar graph Combinatorics Indifference graph Mathematics::Algebraic Geometry Chordal graph Von Neumann regular ring Analysis Pancyclic graph Mathematics
Zdroj:	Algebra and Logic. 52:137-146
ISSN:	1573-8302 0002-5232
DOI:	10.1007/s10469-013-9228-7
Popis:	The zero-divisor graph of an associative ring R is a graph such that its vertices are all nonzero (one-sided and two-sided) zero-divisors, and moreover, two distinct vertices x and y are joined by an edge iff xy = 0 or yx = 0. We give a complete description of varieties of associative rings in which all finite rings have Hamiltonian zero-divisor graphs. Also finite decomposable rings with unity having Hamiltonian zero-divisor graphs are characterized.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::78074e9114896e255f64b048202ba3e6 https://doi.org/10.1007/s10469-013-9228-7 Zobrazit plný text záznamu Plný text ve formátu PDF