Results 141 to 150 of about 24,618 (173)

Endomorphism rings of torsion-free abelian groups of finite rank

Advances in Algebra and Model Theory, 2019
O. Mutzbauer
openaire   +2 more sources

Quasi-Pure Injective and Projective Torsion-Free Abelian Groups of Finite Rank

Proceedings of the London Mathematical Society, 1979
Arnold, D. M., O'Brien, B., Reid, J. D.
openaire   +3 more sources

On the torsion-free ranks of finitely generated nilpotent groups and of their abelian subgroups

Journal of Group Theory, 2004
Denote by \(f(n)\) the greatest integer \(h\) such that there exists a finitely generated nilpotent group of torsion-free rank \(h\) such that the torsion-free ranks of all Abelian subgroups of this group are not greater than \(n\). The author proves that the function \(f(n)\) satisfies the inequality \(f(n)\geq\tfrac18(n^2-4)+n\). Proving this theorem,
openaire   +2 more sources

Torsion-free Abelian Groups with Precobalanced Finite Rank Pure Subgroups

Abelian Groups, 2022
A. Giovannitti
semanticscholar   +1 more source

TORSION-FREE ABELIAN GROUPS WITH FINITE RANK ENDOMORPHISM RINGS

Quaestiones Mathematicae, 1991
Abstract We show that if A and C are torsion-free abelian groups with ∩{ker f|f: A → C} = 0 = ∩{ker g|g: C → A}, and if A has a left Artinian quasi-endomorphism ring then A and C share a nonzero quasi-summand. Some consequences explored.
openaire   +1 more source

Direct Decomposition Theory of Torsion-Free Abelian Groups of Finite Rank: Graph Method

Lobachevskii Journal of Mathematics, 2018
E. Blagoveshchenskaya, D. Kunetz
semanticscholar   +2 more sources

Irreducible representations of certain nilpotent groups of finite rank

European Journal of Mathematics
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 of nilpotency class 2 admits a faithful irreducible representation φ\documentclass[12pt]
A. V. Tushev
semanticscholar   +1 more source

Breast Cancer Statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Hyuna Sung, Kimberly D Miller, Rebecca L Siegel   +2 more
exaly  

Torsion-free Abelian groups of finite rank as endomorphic modules over their endomorphism ring

Mathematical Notes, 2013
D. S. Chistyakov
semanticscholar   +1 more source

Cancer statistics for adolescents and young adults, 2020

Ca-A Cancer Journal for Clinicians, 2020
Kimberly D Miller, Miranda Fidler-Benaoudia, Heather S Hipp   +2 more
exaly