2004/04/24 by Li Guo
Mathematics · #math.AC #math.CO #math.RA #msc:13E05 #msc:16W99 #msc:47C05
published as International Journal of Algebra and Computation. 12 (2002), no. 4, 601-622 · 22 pages. No figures
arxiv created 2004/04/24 · arxiv updated 2009/12/01
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.