A note on the lattice of weak L-valued congruences on the group of prime order

Weak L-valued (fuzzy) congruences on an algebra, where L is a lattice, were induced in [4]. In this note, we give a representation theorem for one subdirect power of L, by means of the lattice of L-valued congruences on any cyclic group of prime order.

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Veröffentlicht in:Fuzzy sets and systems 1987, Vol.22 (3), p.321-324
Hauptverfasser: Seselja, B, Vojvodic, G
Format: Artikel
Sprache:eng
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Zusammenfassung:Weak L-valued (fuzzy) congruences on an algebra, where L is a lattice, were induced in [4]. In this note, we give a representation theorem for one subdirect power of L, by means of the lattice of L-valued congruences on any cyclic group of prime order.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(87)90075-3