Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/13440
Title: | Torsion graph over multiplication modules |
Authors: | Ghalandarzadeh, Sh. Malakooti Rad, P. |
Keywords: | 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 |
Issue Date: | 2009 |
Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
Abstract: | 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 |
Appears in Collections: | Extracta Mathematicae Vol. 24, n潞 3 (2009) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
0213-8743_24_3_281.pdf | 203,3 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License