3 citations · 6 across the 4 of their papers we have counts for
5 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…
Secondary derived functors and the Adams spectral sequence
Hans Joachim Baues, Mamuka Jibladze
Classical homological algebra takes place in additive categories. In homotopy theory such additive categories arise as homotopy categories of ``additive groupoid enriched categorie…
Computation of the E_3-term of the Adams spectral sequence
Hans Joachim Baues, Mamuka Jibladze
An algorithm is described giving effective determination of the second differential in the Adams spectral sequence. The algorithm is based on the notion of secondary derived functo…
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…
Linear extensions and nilpotence for Maltsev theories
Mamuka Jibladze, Teimuraz Pirashvili
Relationship is clarified between the notions of linear extension of algebraic theories, and central extension, in the sense of commutator calculus, of their models. Varieties of a…