Abstract
A (continuous) t-norm is called equationally definable when the corresponding standard BL-algebra \({[\mathbf{0, 1 }]}_*\) defined by \(*\) and its residuum is the only (up to isomorphism) standard BL-algebra that generates the same variety \(Var({[\mathbf{0, 1 }]_*})\). In this chapter we check that a continuous t-norm \(*\) is equationally definable if and only if the t-norm is a finite ordinal sum of copies of the three basic continuous t-norms, i.e. Łukasiewicz, Godel and Product t-norms.
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