Ascending Chain Conditions in Free Baxter Algebras

Details Ascending Chain Conditions in Free Baxter Algebras Ascending Chain Conditions in Free Baxter Algebras

2004-04-24

arxiv.org/abs/math/0404441v1

International Journal of Algebra and Computation. 12 (2002), no. 4, 601-622

Mathematics

Commutative Algebra

22 pages. No figures

Scientific paper

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.

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