Ascending Chain Conditions in Free Baxter Algebras
Commutative Algebra
2007-05-23 v1 Combinatorics
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.math/0404441,
title = {Ascending Chain Conditions in Free Baxter Algebras},
author = {Li Guo},
journal= {arXiv preprint arXiv:math/0404441},
year = {2007}
}
Comments
22 pages. No figures