| Autor: |
Selvakumar, Krishnan, Subajini, Manoharan |
| Zdroj: |
Czechoslovak Mathematical Journal; Jun2016, Vol. 66 Issue 2, p307-316, 10p |
| Abstrakt: |
Let R be a commutative ring with nonzero identity and J( R) the Jacobson radical of R. The Jacobson graph of R, denoted by J, is defined as the graph with vertex set R J( R) such that two distinct vertices x and y are adjacent if and only if 1 − xy is not a unit of R. The genus of a simple graph G is the smallest nonnegative integer n such that G can be embedded into an orientable surface S . In this paper, we investigate the genus number of the compact Riemann surface in which J can be embedded and explicitly determine all finite commutative rings R (up to isomorphism) such that J is toroidal. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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