67 citations · 146 across the 31 of their papers we have counts for
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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…
Sets with two associative operation
Teimuraz Pirashvili
In this paper we consider dimonoids, which are sets equipped with two associative binary operations. Dimonoids in the sense of J.-L. Loday are xamples of duplexes. The set of all p…