Loading...

Classification of the toroidal jacobson graphs

Amraei, H ; Sharif University of Technology | 2018

260 Viewed
  1. Type of Document: Article
  2. DOI: 10.1007/s40840-015-0294-y
  3. Publisher: Springer Singapore , 2018
  4. Abstract:
  5. Let R be a finite commutative ring with nonzero identity and denote its Jacobson radical by J(R). The Jacobson graph of R is the graph in which the vertex set is R J(R) , and two distinct vertices x and y are adjacent if and only if 1 - xy is not a unit in R. In this paper, up to isomorphism, we classify the rings R whose Jacobson graphs are toroidal. © 2016, Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
  6. Keywords:
  7. Finite commutative ring ; Genus ; Jacobson graph
  8. Source: Bulletin of the Malaysian Mathematical Sciences Society ; Volume 41, Issue 1 , 2018 , Pages 321-334 ; 01266705 (ISSN)
  9. URL: https://link.springer.com/article/10.1007%2Fs40840-015-0294-y