A problem of Shirshov

DOI10.1007/BF01668599zbMath0399.17006OpenAlexW2007636257MaRDI QIDQ1254602

Ivan Pavlovic Shestakov

Publication date: 1977

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01668599

zbMATH Keywords

Mal'tsev algebrasvarieties of alternative algebrasvarieties of solvable algebras

Mathematics Subject Classification ID

Alternative rings (17D05) Mal'tsev rings and algebras (17D10)

Related Items (10)

Free Malcev algebra of rank three ⋮ Nilpotent ideals of Mal'tsev algebras ⋮ Finitely generated Mal'tsev algebras ⋮ Nonassociative rings ⋮ Free Lie-admissible algebras and an analogue of the PBW theorem ⋮ Basic superranks for varieties of algebras ⋮ Unnamed Item ⋮ GRÖBNER–SHIRSHOV BASES AND EMBEDDINGS OF ALGEBRAS ⋮ Left-symmetric algebras of derivations of free algebras ⋮ Embedding into 2-generated simple associative (Lie) algebras

Cites Work

• On Engelian Mal'tsev algebras
• Central simple Mal'tsev algebras
• Nilpotency of the associator ideal of a free finitely generated (−1, 1) ring
• On free alternative rings
• Quasiregular ideals in finitely generated alternative rings
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