Some properties of pseudomeadows
Commutative Algebra
2020-01-24 v1
Abstract
The purpose of this paper is to study the commutative pseudomeadows, the structure which is defined in the same way as commutative meadows, except that the existence of a multiplicative identity is not required. We extend the characterization of finite commutative meadows, given by I.~Bethke, P.~Rodenburg, and A.~Sevenster in their 2015 paper, to the case of commutative pseudomeadows with finitely many idempotents. We also extend the well-known characterization of general commutative meadows as the subdirect products of fields to the case of commutative pseudomeadows. Finally we investigate localizations of commutative pseudomeadows.
Cite
@article{arxiv.2001.08506,
title = {Some properties of pseudomeadows},
author = {Hamid Kulosman},
journal= {arXiv preprint arXiv:2001.08506},
year = {2020}
}