Publication
3 x 3 lemma for star-exact sequences
| dc.contributor.author | Gran, Marino | |
| dc.contributor.author | Janelidze, Zurab | |
| dc.contributor.author | Rodelo, Diana | |
| dc.date.accessioned | 2018-12-07T14:58:30Z | |
| dc.date.available | 2018-12-07T14:58:30Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | A regular category is said to be normal when it is pointed and every regular epimorphism in it is a normal epimorphism. Any abelian category is normal, and in a normal category one can define short exact sequences in a similar way as in an abelian category. Then, the corresponding 3 x 3 lemma is equivalent to the so-called subtractivity, which in universal algebra is also known as congruence 0-permutability. In the context of non-pointed regular categories, short exact sequences can be replaced with "exact forks" and then, the corresponding 3 x 3 lemma is equivalent, in the universal algebraic terminology, to congruence 3-permutability; equivalently, regular categories satisfying such 3 x 3 lemma are precisely the Goursat categories. We show how these two seemingly independent results can be unified in the context of star-regular categories recently introduced in a joint work of A. Ursini and the first two authors. | |
| dc.description.sponsorship | F.N.R.S. [1.5.016.10F]; South African National Research Foundation; Georgian National Science Foundation [GNSF/ST09_730_3-105]; CMUC/FCT (Portugal); | |
| dc.identifier.doi | 10.4310/HHA.2012.v14.n2.a1 | |
| dc.identifier.issn | 1532-0073 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/12058 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Int Press Boston, Inc | |
| dc.subject | 3X3 Lemma | |
| dc.subject | Categories | |
| dc.title | 3 x 3 lemma for star-exact sequences | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/COMPETE/PTDC%2FMAT%2F120222%2F2010/PT | |
| oaire.citation.endPage | 22 | |
| oaire.citation.issue | 2 | |
| oaire.citation.startPage | 1 | |
| oaire.citation.title | Homology, Homotopy and Applications | |
| oaire.citation.volume | 14 | |
| oaire.fundingStream | COMPETE | |
| person.familyName | Rodelo | |
| person.givenName | Diana | |
| person.identifier.ciencia-id | 6C16-FCF9-64A0 | |
| person.identifier.orcid | 0000-0002-4816-3234 | |
| person.identifier.rid | AFH-8267-2022 | |
| person.identifier.scopus-author-id | 8216708900 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
| relation.isAuthorOfPublication.latestForDiscovery | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
| relation.isProjectOfPublication | 5101bfa2-c05c-40e6-b227-c17c64938f19 | |
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