Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
By M. Axtell, J. Coykendall, Joe A. Stickles Jr.. 2005
119 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ef60b022f224851c5e5bc6d12a3ab0dcf2cc24a0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Ayman Badawi
- David F. Anderson
- Zoran Z. Petrovic
- Ivana Božić
- H. Maimani
- Siamak Yassemi
- Shashikant Mulay
- T. Lucas
In Geometry and Topology
- Ayman Badawi
- David F. Anderson
- Zoran Z. Petrovic
- Ivana Božić
- H. Maimani
- Siamak Yassemi
- Shashikant Mulay
- T. Lucas
Citations in the corpus
- Zero-Divisor Graphs of Matrices Over Commutative Rings (2009, background): “Recently, the diameter and girth of polynomial and power series rings over a commutative ring were studied in Axtell et al. (2005), Anderson and Mulay (2007), and Lucas (2006).”
- The diameter of a zero divisor graph (2006, background): “As noted in [2], it is clear that diam(Γ (R)) is always less than or equal to diam(Γ (R[x])).”
- On the Zero-Divisor Graph of a Ring (2008, background): “The diameter of R X has recently been studied in Axtel et al. (2005), Anderson and Mulay (2007), and Lucas (2006).”
- ON THE DIAMETER AND GIRTH OF A ZERO-DIVISOR GRAPH (2007, methodology): “Some cases for R a non-noetherian commutative ring left open in [4] were then resolved in [12].”
- Zero-divisor graphs of amalgamated duplication of a ring along an ideal (2007, background): “In [9, Theorem 1.6] DeMeyer and Schneider and in [11, Theorem 1.4] Mulay proved this conjecture independently (see also [ 5, Theorem 2 ]).”