Abstract
Ordinal sums of semigroups in the sense of [3] leading to triangular norms [29] are studied, generalizing the ordinal sum of triangular norms [30]. The summands of these general ordinal sums are fully characterized, and the ordinal irreducibility of triangular norms is investigated, inducing a natural partition of the class of all triangular norms.
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Communicated by Boris M. Schein
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Klement, E.P., Mesiar, R. & Pap, E. Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford. Semigroup Forum 65, 71–82 (2002). https://doi.org/10.1007/s002330010127
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DOI: https://doi.org/10.1007/s002330010127