3 citations · 4 across the 4 of their papers we have counts for
5 papers
Varieties of Quantitative or Continuous Algebras (Extended Abstract)
Jiří Adámek, Matěj Dostál, Jiří Velebil
Quantitative algebras are algebras enriched in the category of metric spaces so that all operations are nonexpanding. Mardare, Plotkin and Panangaden introduced vari…
Sifted Colimits, Strongly Finitary Monads and Continuous Algebras
Jiří Adámek, Matěj Dostál, Jiří Velebil
We characterize strongly finitary monads on categories , and as precisely those preserving sifted colimits. Or, equivalently, enriched…
A categorical view of varieties of ordered algebras
J. Adámek, M. Dostál, J. Velebil
It is well known that classical varieties of -algebras correspond bijectively to finitary monads on . We present an analogous result for varieties of ordered -a…
Finitely Presentable Algebras For Finitary Monads
Jiří Adámek, Stefan Milius, Lurdes Sousa +1
For finitary regular monads T on locally finitely presentable categories we characterize the finitely presentable objects in the category of T-algebras in the style known from gene…
How nice are free completions of categories?
Jiří Adámek, Jiří Rosický
Every category has a free completion under colimits and a free completion under coproducts. A number of properties of $\mathcal K…