5 citations · 19 across the 13 of their papers we have counts for
13 papers
On the factorizations of integers via division algorithms for polynomials
Guram Donadze, Adrian Vasiu
We introduce and study several conditions related to the factorization problem of composite numbers. For this purpose, we employ cyclotomic polynomials, Sylvester resultants, and t…
Schur's theorem and its relation to the closure properties of the non-abelian tensor product
Guram Donadze, Manuel Ladra, Pilar Páez-Guillán
We show that the Schur multiplier of a Noetherian group need not be finitely generated. We prove that the non-abelian tensor product of a polycyclic (resp. polycyclic-by-finite) gr…
Schur- and Baer-type theorems for Lie and Leibniz algebras
Guram Donadze, Tim Van der Linden
The aim of this article is to obtain variations on the classical theorems of Schur and Baer on finiteness of commutator subgroups, valid in the contexts of Lie algebras and Leibniz…
Some generalisations of Schur's and Baer's theorem and their connection with homological algebra
Guram Donadze, Xabier García-Martínez
Schur's Theorem and its generalisation, Baer's Theorem, are distinguished results in group theory, connecting the upper central quotients with the lower central series. The aim of…
On finite-by-nilpotent groups
Eloisa Detomi, Guram Donadze, Marta Morigi +1
Let be the th lower central word. Denote by the set of -values in a group and suppose that there is a number such that …
A comonadic interpretation of Baues-Ellis homology of crossed modules
Guram Donadze, Tim van der Linden
We introduce and study a homology theory of crossed modules with coefficients in an abelian crossed module. We discuss the basic properties of these new homology groups and give so…