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Semisimplicity, EDPC and Discriminator Varieties of Residuated Lattices

Tomasz Kowalski
Studia Logica: An International Journal for Symbolic Logic
Vol. 77, No. 2, Algebra and Substructural Logics: Take Two Part 2 (Jul., 2004), pp. 255-265
Published by: Springer
Stable URL: http://www.jstor.org/stable/20016626
Page Count: 11
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Semisimplicity, EDPC and Discriminator Varieties of Residuated Lattices
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Abstract

We prove that all semisimple varieties of $\text{FL}_{\text{ew}}$-algebras are discriminator varieties. A characterisation of discriminator and EDPC varieties of $\text{FL}_{\text{ew}}$-algebras follows. It matches exactly a natural classification of logics over $\text{FL}_{\text{ew}}$ proposed by H. Ono.

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