Authors: | Šešelja, Branimir Stepanović, Vanja Tepavčević, Andreja |
Title: | A note on representation of lattices by weak congruences | Journal: | Algebra Universalis | Volume: | 68 | Issue: | 3 | First page: | 287 | Last page: | 291 | Issue Date: | 1-Dec-2012 | Rank: | M23 | ISSN: | 0002-5240 | DOI: | 10.1007/s00012-012-0206-z | Abstract: | A weak congruence is a symmetric, transitive, and compatible relation. An element u of an algebraic lattice L is Δ-suitable if there is an isomorphism κ from L to the lattice of weak congruences of an algebra such that κ(u) is the diagonal relation. Some conditions implying the Δ-suitability of u are presented. |
Keywords: | Δ-suitable element | algebraic lattice | weak congruence lattice | Publisher: | Springer Link | Project: | Development of methods of computation and information processing: theory and applications |
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