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20082025
most citedDifferential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations

23 citations

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math.CT2012★ 2 cited

-fuzzy strongest postcondition predicate transformers as -idempotent linear or affine operators between semimodules of monotonic predicates

Oleh Nykyforchyn, Dušan Repovš

For a completely distributive quantale , -fuzzy strongest postcondition predicate transformers are introduced, and it is shown that, under reasonable assumptions, they are li…

math.CT2011★ 5 cited

Ambiguous representations as fuzzy relations between sets

Oleh Nykyforchyn, Dušan Repovš

Crisp and -fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff…

math.CT2011★ 1 cited

Idempotent convexity and algebras for the capacity monad and its submonads

Oleh Nykyforchyn, Dušan Repovš

Idempotent analogues of convexity are introduced. It is proved that the category of algebras for the capacity monad in the category of compacta is isomorphic to the category of $(\…

math.CT2010★ 3 cited

Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads

Oleh Nykyforchyn, Dušan Repovš

The inclusion hyperspace functor, the capacity functor and monads for these functors have been extended from the category of compact Hausdorff spaces to the category of Tychonoff s…

math.CT2010

Extending binary operations to funtor-spaces

Taras Banakh, Volodymyr Gavrylkiv

Given a continuous monadic functor T in the category of Tychonov spaces for each discrete topological semigroup X we extend the semigroup operation of X to a right-topological semi…