Non-unital algebra objects of stable symmetric monoidal model categories by Smith ideal theory
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916338344132608 |
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| author | Kato, Yuki |
| author_facet | Kato, Yuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13521 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-unital algebra objects of stable symmetric monoidal model categories by Smith ideal theory Kato, Yuki Category Theory 18N55 (primary), 18N70 (secondary) 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. |
| title | Non-unital algebra objects of stable symmetric monoidal model categories by Smith ideal theory |
| topic | Category Theory 18N55 (primary), 18N70 (secondary) |
| url | https://arxiv.org/abs/2302.13521 |