Arens-Michael envelopes, homological epimorphisms, and relatively quasi-free algebras

@article{Pirkovskii2008ArensMichaelEH,
  title={Arens-Michael envelopes, homological epimorphisms, and relatively quasi-free algebras},
  author={Alexei Yul’evich Pirkovskii},
  journal={Transactions of the Moscow Mathematical Society},
  year={2008},
  volume={69},
  pages={27-104}
}
  • A. Pirkovskii
  • Published 2008
  • Mathematics
  • Transactions of the Moscow Mathematical Society
We describe and investigate Arens–Michael envelopes of associative algebras and their homological properties. We also introduce and study analytic analogs of some classical ring-theoretic constructs: Ore extensions, Laurent extensions, and tensor algebras. For some finitely generated algebras, we explicitly describe their Arens–Michael envelopes as certain algebras of noncommutative power series, and we also show that the embeddings of such algebras in their Arens–Michael envelopes are… Expand
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