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Solving equations in residuated semigroups and quantales
Last modified: 2014-01-31
Abstract
We inverstigate solvability of various types of equations in residuated semigroups and quantales. Most attention is devoted to Moore-Penrose equations in residuated semigroups and quantales with involution, and in particular, to Moore-Penrose equations for fuzzy relations and matrices over residuated structures of truth values (quantales, complete residuated lattices, complete Heyting algebras, etc.).