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arXiv · 1911.07373

Structure of principal one-sided ideals

James East
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Abstract

We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoids. One-sided ideals of these semigroups naturally occur as semigroups of transformations with restricted range or kernel.

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James East. 2019-11-18. Structure of principal one-sided ideals. https://arxiv.org/abs/1911.07373

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