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CLASSES OF ALGEBRAS AND CLOSURE OPERATIONS
| dc.contributor.author | GUTIERREZ, I. S. | |
| dc.contributor.other | TORRESBLANCA-BADILLO, ANSELMO | |
| dc.contributor.other | TOWERS, DAVID A. | |
| dc.date.accessioned | 2022-11-15T20:49:49Z | |
| dc.date.available | 2022-11-15T20:49:49Z | |
| dc.date.issued | 2021-02-17 | |
| dc.date.submitted | 2020-11-20 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12834/891 | |
| dc.description.abstract | The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, parallel theories have started to be developed in various varieties of algebras, such as Lie, Leibniz and Malcev algebras. This paper seeks to investigate the extent to which these later theories can be generalised to the variety of all non-associative algebras | spa |
| dc.format.mimetype | application/pdf | spa |
| dc.language.iso | eng | spa |
| dc.title | CLASSES OF ALGEBRAS AND CLOSURE OPERATIONS | spa |
| dcterms.bibliographicCitation | 1. A. Ballester-Bolinches and L. M. Ezquerro. Classes of finite groups. Springer, 2006. | spa |
| dcterms.bibliographicCitation | 2. D. W. Barnes. On the theory of soluble Lie algebras, Math. Zeit. 106 (1968), 343-354 | spa |
| dcterms.bibliographicCitation | 3. D.W. Barnes. Saturated formations of soluble Lie algebras in characteristic zero, Archiv. der Math. 30 (1978), 477-480. | spa |
| dcterms.bibliographicCitation | 4. D. W. Barnes. On locally defined formations of soluble Lie and Leibniz Algebras, Bull. Aust. Math. Soc. 86 (2012), 322326 doi:10.1017/S0004972711003443 | spa |
| dcterms.bibliographicCitation | 5. D. W. Barnes. Schunck Classes of Soluble Leibniz Algebras, Communications in Algebra, 41:11, (2013) 4046-4065, DOI: 10.1080/00927872.2012.700978 | spa |
| dcterms.bibliographicCitation | 6. K. Doerk and T. Hawkes. Finite soluble groups. W de Gruyter, 1990 | spa |
| dcterms.bibliographicCitation | 7. I. S. Gutierrez, and M. Navarro. Clases de ´algebras de Lie y sub´algebras de Cartan. Revista Colombiana de Matem´aticas, vol 42, 2008. | spa |
| dcterms.bibliographicCitation | 8. P. Hall. On the finiteness of certain soluble groups, Proc. London Math. Soc.9(3) (1959). 595622 | spa |
| dcterms.bibliographicCitation | 9. P. Hall. On non-strictly simple groups, Proc. Cambridge Philos.Soc.59 (1963). 531553. | spa |
| dcterms.bibliographicCitation | 10. E. I. Marshall. The Frattini subalgebra of a Lie algebra. J. London Math. Soc. 42 (1967), 416-22. | spa |
| dcterms.bibliographicCitation | 11. L. A. Shemetkov, On the product of formations of algebraic systems. Algeb. Logika, 23, No. 6 (1984), 721-729 | spa |
| dcterms.bibliographicCitation | 12. L.A. Shemetkov and A. N. Skiba. Formations of AIgebraic Systems [in Russian], Nauka, Moscow (1989). | spa |
| dcterms.bibliographicCitation | 13. A.N. Skiba. Algebra of Formations [in Russian], Belarus. Navuka, Minsk (1997). | spa |
| dcterms.bibliographicCitation | 14. E. L. Stitzinger. On saturated formations of solvable Lie algebras, Pacific J. Math. 47 no. 2 (1973), 531-538. | spa |
| dcterms.bibliographicCitation | 15. E. L. Stitzinger. Supersolvable Malcev algebras, J. Algebra 103 (1986), 69-79 | spa |
| dcterms.bibliographicCitation | 16. D. A. Towers. A Frattini theory for algebras. Proc. London Math. Soc. , 27 : 3 (1973), 440462 | spa |
| dcterms.bibliographicCitation | 17. K. A. Zhevlakov, A. M. Slinko, I. P. Shestakov, and A. I. Shirshov, Rings that are nearly associative, Academic Press, 1982. | spa |
| datacite.rights | http://purl.org/coar/access_right/c_abf2 | spa |
| oaire.resourcetype | http://purl.org/coar/resource_type/c_6501 | spa |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | spa |
| dc.audience | Público general | spa |
| dc.identifier.doi | 10.1080/00927872.2021.1877296 | |
| dc.identifier.instname | Universidad del Atlántico | spa |
| dc.identifier.reponame | Repositorio Universidad del Atlántico | spa |
| dc.type.driver | info:eu-repo/semantics/article | spa |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | spa |
| dc.type.spa | Artículo | spa |
| dc.publisher.place | Barranquilla | spa |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | spa |
| dc.publisher.sede | Sede Norte | spa |
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