On rings that are sums of two subrings
β Scribed by Otto H Kegel
- Publisher
- Elsevier Science
- Year
- 1964
- Tongue
- English
- Weight
- 370 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We describe all semigroup rings and band-graded rings which are direct sums of finite fields. We show that the class of rings which are direct sums of finite fields is closed for taking sums of two subrings.
For a graph G, let Ο 3 (G) = min{deg G x + deg G y + deg G z: {x, y, z} is an independent set in G}. Enomoto et al. [Enowoto et al., J Graph Theory 20 (1995), 419-422] have proved that the vertex set of a 2-connected graph G of order n with Ο 3 (G) β₯ n is covered by two cycles, edges or vertices. Ex
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