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golod–shafarevich algebras

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Generating Adjoint Groups
Part of
- Radicals and radical properties of rings
Be'eri Greenfeld
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 3 / August 2019

Published online by Cambridge University Press:

30 January 2019, pp. 733-738
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We prove two approximations of the open problem of whether the adjoint group of a non-nilpotent nil ring can be finitely generated. We show that the adjoint group of a non-nilpotent Jacobson radical cannot be boundedly generated and, on the other hand, construct a finitely generated, infinite-dimensional nil algebra whose adjoint group is generated by elements of bounded torsion.