| dc.contributor.author | Xarez, Isabel A. | en_US |
| dc.contributor.author | Xarez, Joao J. | en_US |
| dc.date.accessioned | 1399-08-02T00:04:40Z | fa_IR |
| dc.date.accessioned | 2020-10-23T00:04:41Z | |
| dc.date.available | 1399-08-02T00:04:40Z | fa_IR |
| dc.date.available | 2020-10-23T00:04:41Z | |
| dc.date.issued | 2020-07-01 | en_US |
| dc.date.issued | 1399-04-11 | fa_IR |
| dc.date.submitted | 2019-01-17 | en_US |
| dc.date.submitted | 1397-10-27 | fa_IR |
| dc.identifier.citation | Xarez, Isabel A., Xarez, Joao J.. (2020). Product preservation and stable units for reflections into idempotent subvarieties. Categories and General Algebraic Structures with Applications, 13(1), 1-22. | en_US |
| dc.identifier.issn | 2345-5853 | |
| dc.identifier.issn | 2345-5861 | |
| dc.identifier.uri | http://cgasa.sbu.ac.ir/article_87414.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/470643 | |
| dc.description.abstract | We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units if and only if it is simple and the above-mentioned condition holds. | en_US |
| dc.format.extent | 540 | |
| dc.format.mimetype | application/pdf | |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | Shahid Beheshti University | en_US |
| dc.relation.ispartof | Categories and General Algebraic Structures with Applications | en_US |
| dc.subject | Semi-left-exactness | en_US |
| dc.subject | stable units | en_US |
| dc.subject | simple reflection | en_US |
| dc.subject | preservation of finite products | en_US |
| dc.subject | varieties of universal algebras | en_US |
| dc.subject | idempotent | en_US |
| dc.title | Product preservation and stable units for reflections into idempotent subvarieties | en_US |
| dc.type | Text | en_US |
| dc.type | Research Paper | en_US |
| dc.contributor.department | Department of Mathematics, University of Aveiro, Portugal. | en_US |
| dc.contributor.department | CIDMA - Center for Research and Development in Mathematics and Applications,
Department of Mathematics, University of Aveiro, Portugal. | en_US |
| dc.citation.volume | 13 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 1 | |
| dc.citation.epage | 22 | |
| nlai.contributor.orcid | 0000-0001-8909-2842 | |