Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13651
Title: | Congruences and ideals on Boolean modules: a heterogeneous point of view | Authors: | Pinto, Sandra Marques Oliveira-Martins, M. Teresa |
Keywords: | Relation algebras; Boolean modules; Modular heterogeneous congruence; Modular heterogeneous ideal; Simple Boolean module | Issue Date: | 2010 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 10-27 (2010) | Serial title, monograph or event: | Pré-Publicações DMUC | Issue: | 10-27 | Place of publication or event: | Coimbra | 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. | URI: | https://hdl.handle.net/10316/13651 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Congruences and ideals on Boolean modules.pdf | 124.63 kB | Adobe PDF | View/Open |
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