6 citations · 8 across the 7 of their papers we have counts for
8 papers
Dedekind Poisson Algebras over Arbitrary Fields
A. I. Plakosh, O. O. Pypka
We study Poisson algebras in which every Poisson subalgebra is a Poisson ideal, called Dedekind Poisson algebras, over arbitrary fields and without any finite-dimensionality assump…
Representations and cohomologies of the alternating group of degree 4
Yuriy Drozd, Andriana Plakosh
We describe integral representations of the alternating group , in particular, the Auslander-Reiten quiver of its 2-adic representations. Using these results we calculate Tate…
Representations of Munn algebras and related semigroups
Yuriy A. Drozd, Andriana I. Plakosh
We establish representation types (finite, tame or wild) of finite dimensional Munn algebras with semisimple bases. As an application, we establish representation types of finite 0…
Cohomologies of regular lattices over the Kleinian 4-group
Yuriy Drozd, Andriana Plakosh
We calculate explicitly cohomologies of the lattices over the Kleinian 4-group belonging to the regular components of the Auslander-Reiten quiver as well as of their dual modules.…
Cohomologies of Kleinian 4-group
Yuriy Drozd, Andriana Plakosh
We calculate explicitly the cohomologies of all -lattices, where is the Kleinian -group.
Cohomologies of finite abelian groups
Yuriy A. Drozd, Andriana I. Plakosh
We construct a simplified resolution for the trivial G-module Z, where G is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies…
On nilpotent Chernikov 2-groups with elementary tops
Yuriy A. Drozd, Andriana I. Plakosh
We give an explicit description of nilpotent Chernikov 2-groups with elementary tops and the basis of rank 2.
On nilpotent Chernikov -groups with elementary tops
Yuriy Drozd, Andriana Plakosh
The description of nilpotent Chernikov -groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field . If…