Cancellation properties in ideal systems: an $\boldsymbol{e.a.b.}$ not $\boldsymbol{a.b.}$ star operation
Commutative Algebra
2010-02-21 v2 Algebraic Geometry
Abstract
We show that Krull's \texttt{a.b.} cancellation condition is a properly stronger condition than Gilmer's \texttt{e.a.b.} cancellation condition for star operations.
Cite
@article{arxiv.1002.2388,
title = {Cancellation properties in ideal systems: an $\boldsymbol{e.a.b.}$ not $\boldsymbol{a.b.}$ star operation},
author = {Marco Fontana and K. Alan Loper and Ryûki Matsuda},
journal= {arXiv preprint arXiv:1002.2388},
year = {2010}
}
Comments
minor changes and corrected typos