Hiroki Takamura Every Free Biresiduated Lattice Is Semisimple

Abstract

A b s t r a c t. In this paper, we prove the semisimplicity of free biresiduated lattices, more precisely, integral residuated lattices. In [4], authors show that variety of residuated lattices, more precisely, commutative integral residuated lattices, is generated by its finite simple members. The result is obtained by showing that every free residuated… (More)

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