Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/13440
T铆tulos: | Torsion graph over multiplication modules |
Autores/as: | Ghalandarzadeh, Sh. Malakooti Rad, P. |
Palabras clave: | Torsion graph;Multiplication module;Von Neumann regular module;Gr谩fico de torsi贸n;M贸dulo de multiplicaci贸n;M贸dulo regular de Von Neumann |
Fecha de publicaci贸n: | 2009 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | For a commutative ring R, the torsion graph of an R-module M is 饾洡 (M) whose vertices are nonzero torsion elements of M, and two distinct vertices x and y are adjacent if and only if [x: M] [y: M ]M = 0. In this article we show that if S = R \ Z (M), then 饾洡 (M) and 饾洡 (S鈦宦筂) are isomorphic for a multiplication R-module M. Also we prove that for a multiplication R-module M, if (饾洡 M) is uniquely complemented, then S鈦宦筂 is von Neumann regular or 饾洡 (M) is a star graph. |
URI: | http://hdl.handle.net/10662/13440 |
ISSN: | 0213-8743 |
Colecci贸n: | Extracta Mathematicae Vol. 24, n潞 3 (2009) |
Archivos
Archivo | Descripci贸n | Tama帽o | Formato | |
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0213-8743_24_3_281.pdf | 203,3 kB | Adobe PDF | Descargar |
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