Tall-Wraith Monoids

Details Tall-Wraith Monoids Tall-Wraith Monoids

2011-02-17

arxiv.org/abs/1102.3549v1

Mathematics

Algebraic Topology

35 pages, 6 figures (produced using TikZ and then externalised)

Scientific paper

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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