An abelian embedding for Moore spectra

TL;DR

This paper introduces an abelian embedding of Moore spectra, providing a new algebraic framework for understanding their structure within a broader categorical context.

Contribution

It constructs a full abelian subcategory embedding of Moore spectra and discusses similar embeddings for other spectral categories.

Findings

Moore spectra are embedded into an abelian category

The embedding preserves key categorical properties

Remarks on embeddings of other spectral categories

Abstract

We embed the category of Moore spectra as a full subcategory of an abelian category, and make some remarks about abelian embeddings of various other categories of spectra.