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Semipotent Rings Whose Unit Graphs Are Planar.
- Source :
- Algebra Colloquium; 2020, Vol. 27 Issue 2, p311-318, 8p
- Publication Year :
- 2020
-
Abstract
- The unit graph of a ring is the simple graph whose vertices are the elements of the ring and where two distinct vertices are adjacent if and only if their sum is a unit of the ring. A simple graph is said to be planar if it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In this note, we completely characterize the semipotent rings whose unit graphs are planar. As a consequence, we list all semilocal rings with planar unit graphs. [ABSTRACT FROM AUTHOR]
- Subjects :
- PLANAR graphs
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 27
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 143135575
- Full Text :
- https://doi.org/10.1142/S1005386720000255