Automorphism-primal algebras generate verbose varieties
| dc.contributor.author | Bergman, Clifford | |
| dc.contributor.department | Mathematics | |
| dc.date | 2018-02-19T06:45:51.000 | |
| dc.date.accessioned | 2020-06-30T05:59:59Z | |
| dc.date.available | 2020-06-30T05:59:59Z | |
| dc.date.copyright | Thu Jan 01 00:00:00 UTC 2015 | |
| dc.date.issued | 2015-09-01 | |
| dc.description.abstract | <p>A finite algebra is called automorphism-primal if its clone of term operations coincides with all operations that preserve its automorphisms. We prove that the variety generated by an automorphism-primal algebra is verbose, that is, on every member algebra, every fully invariant congruence is verbal. The proof is a nice application of the theory of natural dualities as developed by Davey et al.</p> | |
| dc.description.comments | <p>This is a post-peer-review, pre-copyedit version of an article published in <em>Algebra universalis</em>. The final authenticated version is available online at DOI: <a href="http://dx.doi.org/10.1007/s00012-015-0337-0" target="_blank">10.1007/s00012-015-0337-0</a>. Posted with permission.</p> | |
| dc.format.mimetype | application/pdf | |
| dc.identifier | archive/lib.dr.iastate.edu/math_pubs/158/ | |
| dc.identifier.articleid | 1164 | |
| dc.identifier.contextkey | 11281715 | |
| dc.identifier.s3bucket | isulib-bepress-aws-west | |
| dc.identifier.submissionpath | math_pubs/158 | |
| dc.identifier.uri | https://dr.lib.iastate.edu/handle/20.500.12876/54544 | |
| dc.language.iso | en | |
| dc.source.bitstream | archive/lib.dr.iastate.edu/math_pubs/158/2015_Bergman_AutomorphismPrimal.pdf|||Fri Jan 14 20:46:53 UTC 2022 | |
| dc.source.uri | 10.1007/s00012-015-0337-0 | |
| dc.subject.disciplines | Algebra | |
| dc.subject.keywords | verbal congruence | |
| dc.subject.keywords | fully invariant congruence | |
| dc.subject.keywords | verbose | |
| dc.subject.keywords | automorphism-primal | |
| dc.subject.keywords | natural duality | |
| dc.title | Automorphism-primal algebras generate verbose varieties | |
| dc.type | article | |
| dc.type.genre | article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ff2cb02a-ee5f-4bb0-a939-4cdd406e54fa | |
| relation.isOrgUnitOfPublication | 82295b2b-0f85-4929-9659-075c93e82c48 |
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