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Diophantine properties of finite commutative rings

✍ Scribed by Mihai Prunescu

Publisher: Springer
Year: 2003
Tongue: English
Weight: 178 KB
Volume: 42
Category: Article
ISSN: 0933-5846
DOI: 10.1007/s001530100130

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This paper is devoted to the introduction of extension rings S := R[z]/gR[z] with a suitable polynomial g 6 R[z] of arbitrary commutative rings R with identity and to the development of a normal basis concept of S over R, which is similar to that of GALOIS extensions of finite fielda. We prove new r