Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra

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Abstract

Universal enveloping Rota–Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties (RBλAs,postAs) is a PBW-pair and the pair (RBAs,preAs) is not.

Original languageEnglish
Pages (from-to)298-328
Number of pages31
JournalJournal of Algebra
Volume516
DOIs
Publication statusPublished - 15 Dec 2018

Keywords

  • PBW-pair of varieties
  • Postassociative algebra
  • Preassociative algebra
  • Rota–Baxter algebra
  • Universal enveloping algebra
  • OPERADS
  • QUANTUM-FIELD THEORY
  • Rota-Baxter algebra
  • COHOMOLOGY
  • TREES
  • RING
  • DENDRIFORM ALGEBRAS
  • RENORMALIZATION

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