DOI

We develop a theory of parafree augmented algebras similar to the theory of parafree groups and explore some questions related to the Parafree Conjecture. We provide an example of a finitely generated parafree augmented algebra of infinite cohomological dimension. Motivated by this example, we prove a version of the Composition-Diamond lemma for complete augmented algebras and give a sufficient condition for an augmented algebra to be residually nilpotent in terms of its relations.

Язык оригиналаанглийский
Номер статьи106725
ЖурналJournal of Pure and Applied Algebra
Том225
Номер выпуска11
DOI
СостояниеОпубликовано - ноя 2021

    Предметные области Scopus

  • Алгебра и теория чисел

ID: 90651077