67 citations · 146 across the 31 of their papers we have counts for
13 papers · 1 filter
On certain class of Leibniz algebras
M. Jibladze, T. Pirashvili
A Ronco algebra is a Leibniz algebra satisfying the identity: Based on properties of Leibniz homology, we give a proof an old and unpublished result of María Ronco…
A counterexample to a Proposition of Feldvoss-Wagemann and Burde-Wagemann
Teimuraz Pirashvili
Our (weak) conjecture claims that a finite dimensional Lie algebra over the field of complex numbers is semi-simple iff the Leibniz homology vanishes in positive dimensio…
A subcomplex of Leibniz complex
Teimuraz Pirashvili
Using the free graded Lie algebras we introduce a natural subcomlex of the Loday's complex of a Leibniz algebra. Our conjecture says, that for free Leibniz algebras, the complex is…
Goodwillie's calculus via relative homological algebra. The abelian case
Teimuraz Pirashvili
We will explain how elementary concepts of relative homological algebra yield the Taylor tower for functors from pointed categories to abelian groups recovering the constructions o…
Functor homology and homology of commutative monoids
R. Kurdiani, T. Pirashvili
The aim of this work is to clarify the relationship between homology theory of commutative monoids constructed 'a la Quillen and technology of Gamma-modules.
Singular extensions and triangulated categories
Teimuraz Pirashvili
We propose a new look on triangulated categories, which is based on the second Hochschild cohomology.