On the congruence modularity conjecture |
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| Authors: | Luís Sequeira |
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| Affiliation: | (1) Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal;(2) Centro de álgebra, Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal |
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| Abstract: | A new condition of compatibility with projections, applicable to some Maltsev filters, is defined and shown to hold, among others, for the filter of congruence-modular varieties. As a consequence, it is shown that there exist no simple counterexamples (in a specified sense) to the modularity conjecture. This paper is dedicated to Walter Taylor. Received November 5, 2005; accepted in final form April 3, 2006. |
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| Keywords: | Primary: 08B05 Secondary: 08B10 |
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