On Gelfand-Kirillov Transcendence Degree

DOI10.1090/S0002-9947-96-01702-3zbMath0858.16014OpenAlexW1492629652WikidataQ107733843 ScholiaQ107733843MaRDI QIDQ4890033

James J. Zhang

Publication date: 16 March 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01702-3

zbMATH Keywords

graded algebrasquantum algebrastranscendence degreedivision algebrasArtin-Schelter regular algebrasSklyanin algebrasquotient algebrastwisted polynomial ringsGK-dimensionssemi-prime Goldie PI algebrasTdeg-stable algebrasWeyl division algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional and general division rings (16K40) Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Skew fields, division rings (12E15)

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Subnormal subgroups in division rings with generalized power central group identities. ⋮ On isoperimetric profiles of algebras. ⋮ Invariants of domains with finite GK dimension. ⋮ Cancellation and skew cancellation for Poisson algebras ⋮ Gaussian bounds for the fundamental solutions of \(\nabla(A\nabla u)+B\nabla u-u_ t=0\) ⋮ Gelfand-Kirillov dimension for rings ⋮ A note on GK dimension of skew polynomial extensions ⋮ A remark on Gelfand-Kirillov dimension ⋮ On weakly locally finite division rings ⋮ Transcendence degree of division algebras. ⋮ Canonical maps to twisted rings. ⋮ A strong Dixmier-Moeglin equivalence for quantum Schubert cells ⋮ Rational equivalence of classical and quantum polynomial algebras. ⋮ \textit{LD}-stability for Goldie rings ⋮ Dimension and enumeration of primitive ideals in quantum algebras. ⋮ Tauvel’s height formula for quantum nilpotent algebras ⋮ On lower transcendence degree ⋮ DOUBLE LOOP QUANTUM ENVELOPING ALGEBRAS ⋮ Embeddings of quotient division algebras of rings of differential operators

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