11 citations · 20 across the 7 of their papers we have counts for
4 papers · 1 filter
Comparison of Abelian categories recollements
Vincent Franjou, Teimuraz Pirashvili
We give a necessary and sufficient condition for a morphism between recollements of abelian categories to be an equivalence.
Strengthening track theories
Hans-Joachim Baues, Mamuka Jibladze, Teimuraz Pirashvili
Using cohomology of categories with coefficients in natural systems it is proved that a groupoid enrichad category with pseudoproducts is pseudoequivalent to one with strict produc…
Linear extensions and nilpotence for Maltsev theories
Mamuka Jibladze, Teimuraz Pirashvili
Relationship is clarified between the notions of linear extension of algebraic theories, and central extension, in the sense of commutator calculus, of their models. Varieties of a…
On the PROP corresponding to bialgebras
Teimuraz Pirashvili
A PROP is a symmetric monoidal category, whose set of objects is the set of natural numbers and on objects the monoidal structure is given by the addition. An algebra over a PROP i…