dc.contributor.author | Rincon-Mejia, HA | |
dc.contributor.author | Ríos-Montes, J | |
dc.contributor.author | Alvarado, A | |
dc.date.accessioned | 2011-01-22T10:26:46Z | |
dc.date.available | 2011-01-22T10:26:46Z | |
dc.date.issued | 2003 | |
dc.identifier.issn | 0092-7872 | |
dc.identifier.uri | http://hdl.handle.net/11154/1736 | |
dc.description.abstract | We define a function between the lattice of left exact preradicals in R-mod and the complete boolean lattice R-nat of natural classes in R-mod in such a way that the image of this function results to be a complete sublattice of R-nat. The image of this function is R-nat if and only if R is left semiartinian. We prove that every flat ring epimorphism from R to S induces a function between the lattice of left exact preradicals in R-mod and the lattice of left exact preradicals in S-mod. In this context, we obtain a lattice decomposition of S-nat for each left exact preradical. | en_US |
dc.language.iso | en | en_US |
dc.title | Natural classes, left exact preradicals, and flat epimorphisms | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 2014 | |
dc.identifier.doi | 10.1081/AGB-120017344 | |
dc.source.novolpages | 31(2):819-830 | |
dc.subject.wos | Mathematics | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | natural class | |
dc.subject.keywords | left exact preradical | |
dc.subject.keywords | flat epimorphism | |
dc.relation.journal | Communications In Algebra |
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