4 papers
On commutative invariants for modules over crossed products of minimax nilpotent linear groups
Anatolii V. Tushev
Let be a minimax nilpotent torsion-free normal subgroup of a soluble group of finite rank, be a finitely generated commutative domain and be a crossed product of…
Construction of Bases in Modules over Laurent Polynomial Rings and Applications to Box Spline Prewavelets
Oleg Davydov, Anatolii Tushev
We suggest a new method of basis construction for the kernel of a linear form on the Laurent polynomial module related to multivariate wavelets, and demonstrate its applications to…
On Krull dimension of modules over group rings of minimax abelian groups
Anatolii V. Tushev
In the paper we obtained some estimations of Krull dimension of modules over group rings of minimax abelian groups. We also consider relations between the condition of existing of…
Irreducible representations of certain nilpotent groups of finite rank
Anatolii V. Tushev
In the paper we study irreducible representations of some nilpotent groups of finite abelian total rank. The main result of the paper states that if a torsion-free minimax group $G…