11 citations · 20 across the 7 of their papers we have counts for
7 papers
Quadratic envelope of the category of class two nilpotent groups
Mamuka Jibladze, Teimuraz Pirashvili
We exhibit an extension of the category of class two nilpotent groups. It has the same objects but, unlike the latter, its morphisms are closed under pointwise addition of maps. At…
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.
Shukla cohomology and additive track theories
Hans-Joachim Baues, Teimuraz Pirashvili
The approach of Quillen to the cohomology of general algebraic systems is based on simplicial methods, which are usually quite hard to deal with. The aim of this work is to give th…
Algebra cohomology over a commutative algebra revisited
Teimuraz Pirashvili
The aim of this paper is to give a relatively easy bicomplex which computes the Shukla, or Quillen cohomology in the category of associative algebras over a commutative algebra …
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…
Triple Cohomology of Lie-Rinehart Algebras and the Canonical Class of Associative Algebras
J. M. Casas, M. Ladra, T. Pirashvili
We introduce a bicomplex which computes the triple cohomology of Lie--Rinehart algebras. We prove that the triple cohomology is isomorphic to the Rinehart cohomology \cite{Ri} prov…