An Extension of a Theorem on Endomorphism Rings and Equivalences
✍ Scribed by J.L. Garcı́a; L. Marı́n
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 115 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Conversely, if y E 2, we have (32, E 9) (y + 2, A o + 2,). Therefore (y. 0) E C, i.e. y E ( a E A : (a, 0) E c).
2 2 h t, x, y F M x q y for all t, x, y g 0, 1 = R , where 2 w x Then problem 1 , 2 has at least one solution x g C 0, 1 .
Generalizing a theorem by J. E. Olson determining the Davenport's constant of a finite abelian p-group A, we prove that if S 1 , . . . , S k are given sets of integers satisfying suitable conditions and if g 1 , . . . , g k ʦ A, then a nontrivial vanishing sum of the form s 1 g 1 ϩ и и и ϩ s k g k ,