5 papers
Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph -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 of an arbitrary graph with coefficients in a field…
The third partial cohomology group and existence of extensions of semilattices of groups by groups
Mikhailo Dokuchaev, Mykola Khrypchenko, Mayumi Makuta
We introduce the concept of a partial abstract kernel associated to a group G and a semilattice of groups A and relate the partial cohomology group H^3(G,C(A)) with the obstruction…
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.
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 with values in a module over the partial group algebra , which is…
Schur's theory for partial projective representations
Mikhailo Dokuchaev, Nicola Sambonet
This article focuses on those aspects about partial actions of groups which are related to Schur's theory on projective representations. It provides an exhaustive description of th…