Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13651
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Pinto, Sandra Marques | - |
dc.contributor.author | Oliveira-Martins, M. Teresa | - |
dc.date.accessioned | 2010-08-20T12:51:17Z | - |
dc.date.available | 2010-08-20T12:51:17Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Pré-Publicações DMUC. 10-27 (2010) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13651 | - |
dc.description.abstract | Definitions for heterogeneous congruences and heterogeneous ideals on a Boolean module M are given and the respective lattices CongM and IdeM are presented. A characterization of the simple Boolean modules is achieved differing from that given by Brink in a homogeneous approach. We construct the smallest and the greatest modular congruence having the same Boolean part. The same is established for modular ideals. The notions of kernel of a modular congruence and the congruence induced by a modular ideal are introduced to describe an isomorphism between CongM and IdeM. This isomorphism leads us to conclude that the class of the Boolean module is ideal determined. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Relation algebras | en_US |
dc.subject | Boolean modules | en_US |
dc.subject | Modular heterogeneous congruence | en_US |
dc.subject | Modular heterogeneous ideal | en_US |
dc.subject | Simple Boolean module | en_US |
dc.title | Congruences and ideals on Boolean modules: a heterogeneous point of view | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 10-27 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-2273-7076 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Congruences and ideals on Boolean modules.pdf | 124.63 kB | Adobe PDF | View/Open |
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