11 citations · 20 across the 7 of their papers we have counts for
4 papers · 1 filter
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 …
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…
André-Quillen homology via functor homology
Teimuraz Pirashvili
We obtain André-Quillen homology for commutative algebras using relative homological algebra in the category of functors on finite pointed sets