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math.GR2020
Homology and cohomology via the partial group algebra
Marcelo Muniz Alves, Mikhailo Dokuchaev, Dessislava H. Kochloukova
We study partial homology and cohomology from ring theoretic point of view via the partial group algebra . In particular, we link the partial homology and cohomo…
math.CO2020
The cone of quasi-semimetrics and exponent matrices of tiled orders
Mikhailo Dokuchaev, Arnaldo Mandel, Makar Plakhotnyk
Finite quasi semimetrics on can be thought of as nonnegative valuations on the edges of a complete directed graph on vertices satisfying all possible triangle inequalities.…