Pairwise comaximal elements and the classification of all ν-distributive triangular norms of length 3

Authors:
Djavvat Khadjiev;Funda Karaçal
Affiliations:
Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080 Trabzon, Turkey;Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080 Trabzon, Turkey
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

For a lattice with a @?-distributive t-norm, one useful inequality is obtained. Theorems on relations between a family of pairwise comaximal elements and a direct decomposition of the unit in a lattice with a @?-distributive t-norm have given. Using these results, the description of all @?-distributive triangular norms of length 3 and all lattices of length 3 with a @?-distributive t-norm have obtained.