Growth, relations and prime spectrum of monomial algebras

DOI10.4171/JCA/38zbMath1435.16004OpenAlexW3007970283MaRDI QIDQ2181188

Be'eri Greenfeld

Publication date: 18 May 2020

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jca/38

zbMATH Keywords

prime idealsmonomial algebrasclassical Krull dimensiongrowth of algebrasGK-dimensionprescribed relations

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Combinatorial aspects of groups and algebras (05E16)

Related Items

Prime monomial ideals of algebras of subsemigroups of free nilpotent groups

Cites Work

• Unnamed Item
• Growth, entropy and commutativity of algebras satisfying prescribed relations.
• Monomial algebras
• Growth of monomial algebras, simple rings and free subalgebras
• Prime and primitive algebras with prescribed growth types
• Chains of prime ideals and primitivity of \(\mathbb Z\)-graded algebras.
• Growth of étale groupoids and simple algebras
• IMAGES OF GOLOD-SHAFAREVICH ALGEBRAS WITH SMALL GROWTH
• An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
• GK–DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS
• Gel’fand-kirillov dimensions of factor rings
• Examples in Finite Gel'fand–Kirillov Dimension. II
• Relatively free semigroups of intermediate growth