Idempotents and Congruence $$\boldsymbol{ax}\boldsymbol{ \equiv b\pmod n}$$

DOI10.1007/978-3-319-28203-9_23zbMath1407.11008OpenAlexW2567526318MaRDI QIDQ5275978

Štefan Porubský

Publication date: 14 July 2017

Published in: From Arithmetic to Zeta-Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-28203-9_23

zbMATH Keywords

idempotentcoprimemaximal groupmaximal semigroupsolution to a congruence

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Linear Diophantine equations (11D04)

Cites Work

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• Group membership in rings of various types
• Fermat-Euler theorem in algebraic number fields
• New solvability conditions for congruence ax≡b (mod n)
• Coprime solutions to ax≡b (mod n)
• The power of primes: security of authentication based on a universal hash-function family

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