Zero-divisor graphs of idealizations

By M. Axtell, Joe A. Stickles Jr.. 2006

51 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ac7b9f53cd50d4ed9ba3d8dc734bc97ef22c0e80

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

1. Ayman Badawi
2. David F. Anderson
3. H. Maimani
4. Siamak Yassemi
5. Shashikant Mulay
6. Thangaraj Asir
7. T. Tamizh Chelvam
8. Cameron Wickham

In Geometry and Topology

1. Ayman Badawi
2. David F. Anderson
3. H. Maimani
4. Siamak Yassemi
5. Shashikant Mulay
6. Cameron Wickham
7. Sandra Spiroff
8. Thangaraj Asir

Citations in the corpus

• Zero-divisor graphs of amalgamated duplication of a ring along an ideal (2007, background): “In [ 6 ], Axtell and Stickles considered zero divisor graphs of idealization of commutative rings.”
• The total graph of a commutative ring (2008, background): “The zero-divisor graph Γ (R(+)M) has recently been studied in [4] and [6].”
• On the Zero-Divisor Graph of a Ring (2008, background): “The zero-divisor graph R + B has recently been studied in Anderson and Mulay (2007) and Axtel and Stickles (2006).”
• ON THE DIAMETER AND GIRTH OF A ZERO-DIVISOR GRAPH (2007, methodology): “We give several alternative proofs to those given in [4,5], and [12], and we answer some questions raised in [4] and [5].”
• THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING (2013, background): “The zero-divisor graph Γ(R(+)M) has been studied in [10, 13], and the total graph T (Γ(R(+)M)) has been studied in [23].”