dc.contributor.author | Dao, Hailong | |
dc.contributor.author | Kobayashi, Toshinori | |
dc.contributor.author | Takahashi, Ryo | |
dc.date.accessioned | 2022-10-05T19:19:33Z | |
dc.date.available | 2022-10-05T19:19:33Z | |
dc.date.issued | 2020-09-18 | |
dc.identifier.citation | Dao, H., Kobayashi, T., Takahashi, R. (2020). Burch ideals and Burch rings. Algebra & Number Theory, Vol. 14 (2020), No. 8, 2121–2150. DOI: 10.2140/ant.2020.14.2121 | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/33589 | |
dc.description.abstract | We introduce the notion of Burch ideals and Burch rings. They are easy to define, and can be viewed as generalization of many well-known concepts, for example integrally closed ideals of finite colength and Cohen–Macaulay rings of minimal multiplicity. We give several characterizations of these objects. We show that they satisfy many interesting and desirable properties: ideal-theoretic, homological, categorical. We relate them to other classes of ideals and rings in the literature. | en_US |
dc.publisher | Mathematical Sciences Publishers (MSP) | en_US |
dc.rights | © 2020 Mathematical Sciences Publishers | en_US |
dc.subject | Burch ideal | en_US |
dc.subject | Burch ring | en_US |
dc.subject | Direct summand | en_US |
dc.subject | Fiber product | en_US |
dc.subject | Gorenstein ring | en_US |
dc.subject | Hypersurface | en_US |
dc.subject | Singular locus | en_US |
dc.subject | Singularity category | en_US |
dc.subject | Syzygy | en_US |
dc.subject | Thick subcategory | en_US |
dc.subject | (Weakly) m-full ideal | en_US |
dc.title | Burch ideals and Burch rings | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Dao, Hailong | |
kusw.kuauthor | Takahashi, Ryo | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.2140/ant.2020.14.2121 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | embargoedAccess | en_US |