On graded characterizations of finite dimensionality for algebraic algebras
Rings and Algebras
2017-08-14 v3
Abstract
We observe that a finitely generated algebraic algebra R (over a field) is finite dimensional if and only if the associated graded ring grR is right noetherian, if and only if grR has right Krull dimension, if and only if grR satisfies a polynomial identity.
Keywords
Cite
@article{arxiv.1706.02383,
title = {On graded characterizations of finite dimensionality for algebraic algebras},
author = {Edward S. Letzter},
journal= {arXiv preprint arXiv:1706.02383},
year = {2017}
}