• Corpus ID: 252565120

# Ascending chain conditions on right ideals of semigroups

@inproceedings{Miller2022AscendingCC,
title={Ascending chain conditions on right ideals of semigroups},
author={Craig Miller},
year={2022}
}
. We call a semigroup S right noetherian if it satisﬁes the ascending chain condition on right ideals, and we say that S satisﬁes ACCPR if it satisﬁes the ascending chain condition on principal right ideals. We investigate the behavior of these two conditions with respect to ideals and ideal extensions, with a particular focus on minimal and 0-minimal one-sided ideals. In particular, we show that the property of satisfying ACCPR is inherited by right and left ideals. On the other hand, we…

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