directly indecomposable residuated lattices
نویسندگان
چکیده
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 directly indecomposable. we apply these results toprove some properties of the boolean center of a residuated lattice and alsodefine the algebras on subintervals of residuated lattices.
منابع مشابه
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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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 6
شماره 2 2009
میزبانی شده توسط پلتفرم ابری doprax.com
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