Lavinia Corina Ciungu

Polytechnical University of Bucharest, Splaiul Independentei 313, Bucharest, Romania

[ 1 ] - DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES

The aim of this paper is to extend results established by H. Onoand T. Kowalski regarding directly indecomposable commutative residuatedlattices to the non-commutative case. The main theorem states that a residuatedlattice A is directly indecomposable if and only if its Boolean center B(A)is {0, 1}. We also prove that any linearly ordered residuated lattice and anylocal residuated lattice are d...

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