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arXiv · 1102.3549

Tall-Wraith Monoids

Andrew Stacey·Sarah Whitehouse
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Abstract

Tall-Wraith monoids were introduced in MR2559638 ("The hunting of the Hopf ring") to describe the algebraic structure on the set of unstable operations of a suitable generalised cohomology theory. In this paper we begin the study of Tall-Wraith monoids in an algebraic and categorical setting. We show that for V a variety of algebras, applying the free V-algebra functor to a monoid in Set produces a Tall-Wraith monoid. We also study the example of the Tall-Wraith monoid defined by the self set-maps of a finite ring, an example closely related to the original motivation for Tall-Wraith monoids.

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Andrew Stacey, Sarah Whitehouse. 2011-02-17. Tall-Wraith Monoids. https://arxiv.org/abs/1102.3549

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