Equational Noetherian Algebras and Chain Conditions
Algebraic Geometry
2013-08-16 v1 Logic
Abstract
In this article, we describe the relation between the properties of being equational noetherian and ascending chain condition on ideals of an arbitrary algebra. We also give a formulation of Hilbert's basis theorem for varieties of algebras and obtain a criterion to investigate it for a given variety.
Keywords
Cite
@article{arxiv.1308.3451,
title = {Equational Noetherian Algebras and Chain Conditions},
author = {M. Shahryari},
journal= {arXiv preprint arXiv:1308.3451},
year = {2013}
}
Comments
8 pages