Results 111 to 120 of about 240 (146)

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

Mathematical Notes, 2013
Let \(R\) be an associative ring with identity and let \(V\) and \(W\) be unitary left \(R\)-modules. A function \(f\colon V\to W\) is called homogeneous if \(f(rv)=rf(v)\) for all \(r\in R\) and \(v\in V\). The set of all such functions is denoted \(M_R(V,W)\) and we abbreviate \(M_R(V,V)\) as \(M_R(V)\).
D. S. Chistyakov
exaly   +4 more sources

Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 132, 17-25 (Russian) (1983; Zbl 0524.20029).
E. A. Blagoveshchenskaya
openalex   +4 more sources

Some of the next articles are maybe not open access.

Related searches:

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

Lobachevskii Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blagoveshchenskaya, E., Kunetz, D.
openaire   +3 more sources

Torsion-free Abelian groups of finite rank without nilpotent endomorphisms

Siberian Mathematical Journal, 1988
See the review in Zbl 0645.20033.
S. F. Kozhukhov
openalex   +4 more sources

On a class of torsion-free abelian groups of finite rank

Mathematical Notes, 1994
A class of torsion free finite rank Abelian groups is characterized in this paper. The class can be treated as a generalization of Murley's \(\mathcal E\)-group class. The results of \textit{A. Fomin}'s paper [Algebra Logika 26, No. 1, 63-83 (1987; Zbl 0638.20030)] are applied.
I. V. Karpova
openalex   +2 more sources

Categories of Mixed and Torsion-Free Finite Rank Abelian Groups

, 1995
In this paper “group” always means “abelian group”. For a group G let T = T(G) be the torsion part and, for a prime p, let T p = T p (G), be the p-torsion part of G.
A. A. Fomin, W. Wickless
openalex   +2 more sources

Duality in some classes of torsion-free Abelian groups of finite rank

Siberian Mathematical Journal, 1986
Let \(\sigma\), \(\tau\) be a pair of types of torsion-free (abelian) groups of rank 1 which are determined by characteristics \((k_ p)\), \((m_ p)\) such that \(k_ p\leq m_ p\) for all primes \(p\). A torsion-free group \(A\) of finite rank \(n\) belongs to the class \(D^{\tau}_{\sigma}\) iff there exists a free subgroup \(J\) of rank \(n\) of \(A ...
A. A. Fomin
openalex   +2 more sources

Invariants and duality in some classes of torsion-free abelian groups of finite rank

Algebra and Logic, 1987
See the review in Zbl 0638.20030.
openaire   +3 more sources

Extensions of torsion-free Abelian groups of finite rank

Archiv der Mathematik, 1972
openaire   +3 more sources

The Grothendieck Group of Torsion-Free Abelian Groups of Finite Rank

Proceedings of the London Mathematical Society, 1963
Joseph Rotman
openalex   +3 more sources