67 citations · 146 across the 31 of their papers we have counts for
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Third Mac Lane cohomology via categorical rings
Mamuka Jibladze, Teimuraz Pirashvili
It is proved that the third Mac Lane cohomology group of a ring R with coefficients in a bimodule B classifies categorical rings having R as the ring of isomorphism classes of obje…
Third Mac Lane cohomology
H. -J. Baues, M. Jibladze, T. Pirashvili
Based on the computation of the third author we obtain an interpretation of the third Mac Lane cohomology of rings using certain kind of crossed extensions of rings in the quadrati…
Universal coefficient theorem in triangulated categories
Teimuraz Pirashvili, Maria Julia Redondo
Let T be a triangulated category, A a graded abelian category and h: T -> A a homology theory on T with values in A. If the functor h reflects isomorphisms, is full and is such tha…
Quadratic algebra of square groups
H. -J. Baues, M. Jibladze, T. Pirashvili
There is a long-standing problem of algebra to extend the symmetric monoidal structure of abelian groups, given by the tensor product, to a non abelian setting. In this paper we sh…