The Golod Shafarevich counter-example without Hilbert series

zbMath1201.16026arXiv0901.1426MaRDI QIDQ3655309

Amitai Regev, Alon Regev

Publication date: 7 January 2010

Full work available at URL: https://arxiv.org/abs/0901.1426

zbMATH Keywords

nil algebrasnilpotent algebrasinfinite-dimensional algebrasGolod-Shafarevich examples

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Associative rings and algebras arising under various constructions (16S99)

Related Items (1)

Infinite dimensional, affine nil algebras \(A \otimes A^{\mathrm{op}}\) and \(A \otimes A\) exist

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