Algebra extensions and derived-discrete algebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914183094730752 |
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| author | Li, Jie |
| author_facet | Li, Jie |
| contents | Let $ϕ\colon A\rightarrow B$ be an algebra extension. We prove that if $ϕ$ is split, the derived-discreteness of $A$ implies the derived-discreteness of $B$; if $ϕ$ is separable and the right $A$-module $B$ is projective, the converse holds. We prove an analogous statement for piecewise hereditary algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_07168 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Algebra extensions and derived-discrete algebras Li, Jie Representation Theory Rings and Algebras Let $ϕ\colon A\rightarrow B$ be an algebra extension. We prove that if $ϕ$ is split, the derived-discreteness of $A$ implies the derived-discreteness of $B$; if $ϕ$ is separable and the right $A$-module $B$ is projective, the converse holds. We prove an analogous statement for piecewise hereditary algebras. |
| title | Algebra extensions and derived-discrete algebras |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/1904.07168 |