One-sided ideal growth of free associative algebras.

DOI10.1007/s00605-005-0374-4zbMath1110.16017OpenAlexW2050932611MaRDI QIDQ857848

Victor M. Petrogradsky

Publication date: 5 January 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0374-4

zbMATH Keywords

subgroup growthfree algebrasfinitely generated algebrasideal growthnumbers of maximal left ideals

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Subgroup theorems; subgroup growth (20E07) Growth rate, Gelfand-Kirillov dimension (16P90) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (2)

Left ideals of matrix rings and error-correcting codes ⋮ Ideal growth in metabelian Lie \(p\)-algebras

Cites Work

• Subgroups of finite index in nilpotent groups
• On groups of polynomial subgroup growth
• Hasse zeta functions of non-commutative rings
• GROWTH OF SUBALGEBRAS FOR RESTRICTED LIE ALGEBRAS AND TRANSITIVE ACTIONS
• On the Growth of Ideals and Submodules
• The zeta function of sl2(ℤ)
• Subgroups of Finite Index in Free Groups
• Analytic properties of zeta functions and subgroup growth
• On the growth of subalgebras in Lie \(p\)-algebras

This page was built for publication: One-sided ideal growth of free associative algebras.