Gelfand-Kirillov dimension for rings

DOI10.1007/S40863-020-00166-4zbMath1439.16024arXiv1912.03562OpenAlexW3018957575WikidataQ107364243 ScholiaQ107364243MaRDI QIDQ2180109

Helbert Venegas, Oswaldo Lezama

Publication date: 13 May 2020

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03562

zbMATH Keywords

Gelfand-Kirillov dimensionGelfand-Kirillov transcendence degreealgebras over commutative domains

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Deformations of associative rings (16S80) Filtered associative rings; filtrational and graded techniques (16W70) Associative rings of fractions and localizations (16S85)

Cites Work

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• Prime affine algebras of Gelfand-Kirillov dimension one
• Zariski cancellation problem for noncommutative algebras
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Projective modules and Gröbner bases for skew PBW extensions
• On Gelfand-Kirillov Transcendence Degree
• Non-commutative algebraic geometry of semi-graded rings
• Center of skew PBW extensions
• Some Homological Properties of SkewPBWExtensions

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