Fermat-Euler theorem in algebraic number fields

DOI10.1006/JNTH.1996.0123zbMath0877.11069OpenAlexW2090963726MaRDI QIDQ1126373

Miroslav Laššák, Štefan Porubský

Publication date: 17 November 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0123

zbMATH Keywords

Dedekind domainsfinite commutative ringsquadratic number fieldsFermat's theorem

Mathematics Subject Classification ID

Quadratic extensions (11R11) Principal ideal rings (13F10) Equations in general fields (12E12) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (6)

Idempotents and Congruence $$\boldsymbol{ax}\boldsymbol{ \equiv b\pmod n}$$ ⋮ THE EULER TOTIENT FUNCTION ON QUADRATIC FIELDS ⋮ Fermat’s little theorem and Euler’s theorem in a class of rings ⋮ Unnamed Item ⋮ Public-key cryptosystem based on invariants of diagonalizable groups ⋮ A Hasse-type principle for exponential Diophantine equations over number fields and its applications

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