Non-unital algebra objects of stable symmetric monoidal model categories by Smith ideal theory
Category Theory
2024-07-30 v2
Abstract
This note remarks that the correspondence between non-unital algebras and augmented unital algebras can be derived from Hovey's Smith ideal theory. Applying Smith ideal theory of stable symmetric monoidal model category, we formulate non-unital algebra objects of stable symmetric monoidal model categories and generalize the correspondence between non-unital algebra objects and augmented algebra objects.
Keywords
Cite
@article{arxiv.2302.13521,
title = {Non-unital algebra objects of stable symmetric monoidal model categories by Smith ideal theory},
author = {Yuki Kato},
journal= {arXiv preprint arXiv:2302.13521},
year = {2024}
}
Comments
A generalized version of this note will be folded in Section 5 of Arxiv 2301.0451