DIRECTLY INDECOMPOSABLE RESIDUATED LATTICES
نویسنده
چکیده مقاله:
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
دوره 6 شماره 2
صفحات 7- 18
تاریخ انتشار 2009-06-10
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