A characterization of a cyclic Galois extension of commutative rings
โ Scribed by George Szeto
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 464 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
It is shown that any symmetric design has associated to it a certain commutative ring , the author defined a commutative ring associated with any finite projective plane. The purpose of this paper is to define an analogous ring associated with any symmetric design. A symmetric (v, k, A)-design is an
A commutative ring \(R\) can be considered as a simple graph whose vertices are the elements of \(R\) and two different elements \(x\) and \(y\) of \(R\) are adjacent if and only if \(x y=0\). Beck conjectured that \(\chi(R)=c l(R)\). We give a counterexample where \(R\) is a finite local ring with