51 citations · 273 across the 33 of their papers we have counts for
44 papers
On the abstract elementary class of acts with embeddings
Marcos Mazari-Armida, Jiří Rosický
We study the class of acts with embeddings as an abstract elementary class. We show that the class is always stable and show that superstability in the class is characterized algeb…
Relative injective modules, superstability and noetherian categories
Marcos Mazari-Armida, Jiri Rosicky
We study classes of modules closed under direct sums, -submodules and -epimorphic images where is either the class of embeddings, -embed…
Smallness in Topology
Jiri Adamek, Miroslav Husek, Jiri Rosicky +1
Quillen's notion of small object and the Gabriel-Ulmer notion of finitely presentable or generated object are fundamental in homotopy theory and categorical algebra. Do these notio…
Varieties of ordered algebras as categories
Jiří Adámek, Jiří Rosický
A variety is a category of ordered (finitary) algebras presented by inequations between terms. We characterize categories enriched over the category of posets which are equivalent…
Metric monads
JIří Rosický
We develop universal algebra over an enriched category and relate it to finitary enriched monads over . Using it, we deduce recent results about ordered un…
Induced and higher-dimensional stable independence
Michael Lieberman, Jiri Rosicky, Sebastien Vasey
We provide several crucial technical extensions of the theory of stable independence notions in accessible categories. In particular, we describe circumstances under which a stable…