Ascending chain conditions in free Baxter algebras

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Abstract

In this paper we study ascending chain conditions in a free Baxter algebra by making use of explicit constructions of free Baxter algebras that were obtained recently. We investigate ascending chain conditions both for ideals and for Baxter ideals. The free Baxter algebras under consideration include free Baxter algebras on sets and free Baxter algebras on algebras. We also consider complete free Baxter algebras.

Original languageEnglish (US)
Pages (from-to)601-622
Number of pages22
JournalInternational Journal of Algebra and Computation
Volume12
Issue number4
DOIs
StatePublished - Aug 1 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Ascending chain condition
  • Baxter algebra

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