Finite rings and Wilson's theorem

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

In this paper we consider the product of all elements in the group of units in a finite ring and we generalize Wilson's theorem to finite rings. As an application, we study some generalizations of Wilson's theorem on residually finite Dedekind domains. And we also give some examples for such rings. Moreover we study some generalizations of Wilson's theorem on rings of matrices over a finite commutative ring.

Anahtar Kelimeler:

Finite rings, Wilson's theorem, residually finite Dedekind domains

Finite rings and Wilson's theorem

Keywords:

Finite rings, Wilson's theorem, residually finite Dedekind domains,

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