Genus characters and the arithmetic of commutative monoids

DOI10.1006/jnth.1997.2150zbMath0874.11071OpenAlexW2086906762MaRDI QIDQ1360717

Clifford S. Queen, David H. Johnson

Publication date: 24 July 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2150

zbMATH Keywords

\(L\)-functionsquadratic fieldsgenus theoryideals of semigroupscommutative cancellation monoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Quadratic extensions (11R11) Other Dirichlet series and zeta functions (11M41) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (1)

Arithmetic on groups of positive rationals

Cites Work

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• Arithmetical semigroups defined by congruences
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• Arithmetic and ideal theory of commutative semigroups
• Factorial domains

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