Abstract
In this short paper we define a filter of a commutative residuated lattice and prove that, for any commutative residuated lattice L, the lattice Fil(L) of all filters of L is isomorphic to the congruence lattice Con(L) of L, that is,
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Kondo, M. (2010). Filters on Commutative Residuated Lattices. In: Huynh, VN., Nakamori, Y., Lawry, J., Inuiguchi, M. (eds) Integrated Uncertainty Management and Applications. Advances in Intelligent and Soft Computing, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11960-6_32
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DOI: https://doi.org/10.1007/978-3-642-11960-6_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11959-0
Online ISBN: 978-3-642-11960-6
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