Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
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Ordinal sums of semigroups in the sense of  leading to triangular norms  are studied, generalizing the ordinal sum of triangular norms . 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.
KeywordsZero Divisor Neutral Element Topological Semigroup Usual Order Triangular Norm
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