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Rings Which Are Sums of Finite Fields

✍ Scribed by A.V Kelarev


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
104 KB
Volume
5
Category
Article
ISSN
1071-5797

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✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


Vanishing Sums ofmth Roots of Unity in F
✍ T.Y. Lam; K.H. Leung πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 273 KB

In an earlier work, the authors determined all possible weights n for which there exists a vanishing sum 1 Ο© ΠΈ ΠΈ ΠΈ Ο© n Ο­ 0 of mth roots of unity i in characteristic 0. In this paper, the same problem is studied in finite fields of characteristic p. For given m and p, results are obtained on integers