Arithmetical properties of finite rings and algebras, and analytic number theory

DOI10.1090/S0002-9904-1970-12573-3zbMath0203.34403MaRDI QIDQ5603300

John Knopfmacher

Publication date: 1970

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

generating functionzeta functionasymptotic enumerationTauberian theoremfinite ringsfinite-dimensional algebraGalois fieldFrattini subalgebracohomology of algebrasabstract prime number theoremsFrattini subringnumber of nonisomorphic n-dimensional semisimple algebrasnumber of nonisomorphic nilpotent n-dimensional algebrasP. Hall's enumeration principle

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Asymptotic results on counting functions for algebraic and topological structures (11N45) Generalized primes and integers (11N80)

Related Items (5)

CONTRIBUTIONS TO ABSTRACT ANALYTIC NUMBER THEORY ⋮ A history of mathematics in South Africa: modern milestones ⋮ Finite modules and algebras over Dedekind domains and analytic number theory ⋮ Finite Rings with Applications ⋮ Asymptotic enumeration of manifolds and Lie groups

Cites Work

• Unnamed Item
• Enumerating p -Groups. I: Inequalities
• ON THE NUMBER OF ABELIAN GROUPS OF A GIVEN ORDER

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