2023/02/27 by Kato, Yuki
#18N55 (primary) #18N70 (secondary) #Category Theory (math.CT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2302.13521
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.