Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13650
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Pinto, Sandra Marques | - |
dc.contributor.author | Oliveira-Martins, M. Teresa | - |
dc.date.accessioned | 2010-08-20T12:47:32Z | - |
dc.date.available | 2010-08-20T12:47:32Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Pré-Publicações DMUC. 10-28 (2010) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13650 | - |
dc.description.abstract | For a Peirce algebra P, lattices CongP of all heterogenous Peirce congruences and IdeP of all heterogenous Peirce ideals are presented. The notions of kernel of a Peirce congruence and the congruence induced by a Peirce ideal are introduced to describe an isomorphism between CongP and IdeP. This isomorphism leads us to conclude that the class of the Peirce algebras is ideal determined. Opposed to Boolean modules case, each part of a Peirce ideal I = (I1; I2) determines the other one. A similar result is valid to Peirce congruences. A characterization of the simple Peirce algebras is presented coinciding to that given by Brink, Britz and Schmidt in a homogeneous approach. | 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 | Peirce algebras | en_US |
dc.subject | Peirce heterogeneous congruence | en_US |
dc.subject | Peirce heterogeneous ideal | en_US |
dc.subject | Simple Peirce algebras | en_US |
dc.title | Congruences and ideals on Peirce algebras: a heterogeneous/homogeneous point of view | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 10-28 | 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 Peirce algebras.pdf | 120.7 kB | Adobe PDF | View/Open |
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