M. Dokuchaev

activity

20172023

collaborators

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4 papers · 1 filter

math.RA2019

Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph $C^{*}$ -algebras

Gene Abrams, Mikhailo Dokuchaev, T. G. Nam

We show that the endomorphism ring of any nonzero finitely generated projective module over the Leavitt path algebra $L_{K} (E)$ of an arbitrary graph $E$ with coefficients in a field…

math.RA2019

Partial generalized crossed products and a seven-term exact sequence

M. Dokuchaev, A. Paques, H. Pinedo +1

For a partial Galois extension of commutative rings we give a seven term exact sequence which generalize the Chase-Harrison-Rosenberg sequence.

math.RA2019

Globalization of group cohomology in the sense of Alvares-Alves-Redondo

Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón

Recently E. R. Alvares, M. M. Alves and M. J. Redondo introduced a cohomology for a group $G$ with values in a module over the partial group algebra $K_{par} (G)$ , which is…

math.RA2018

Recent developments around partial actions

Mikhailo Dokuchaev

We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.

Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph C∗-algebras

Partial generalized crossed products and a seven-term exact sequence

Globalization of group cohomology in the sense of Alvares-Alves-Redondo

Recent developments around partial actions

Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph $C^{*}$ -algebras