On the GK-transcendency degree of division rings of fractions of polycyclic group rings

DOI10.1080/00927879408824842zbMath0802.16019OpenAlexW1969210832MaRDI QIDQ4282885

Alexander M. Aizenbud

Publication date: 12 December 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824842

zbMATH Keywords

group algebrasubgroup of finite indextorsion-free polycyclic groupGelfand-Kirillov transcendence degreeclassical division ring of fractionspolycyclic-by- finite groups

Mathematics Subject Classification ID

Group rings (16S34) Growth rate, Gelfand-Kirillov dimension (16P90) Ore rings, multiplicative sets, Ore localization (16U20)

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The amenability and non-amenability of skew fields

Cites Work

• On the transcendence degree of group algebras of nilpotent groups
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