Results 1 to 10 of about 238 (157)
Torsion-Free Abelian Groups of Finite Rank with Marked Bases [PDF]
Journal of Mathematical Sciences, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. A. Fomin
openalex +2 more sources
Rings on Abelian torsion-free groups of finite rank [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021 This paper will be published in Beitr\"{a}ge zur Algebra und Geometrie / Contributions to Algebra and ...
Е. И. Компанцева +1 more
openalex +4 more sources
Completely decomposable direct summands of torsion-free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 2017 Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A=B\oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand. In such a decomposition $B$ is unique up to isomorphism and $C$ unique up to near-isomorphism.
Adolf Mader, Phill Schultz
+9 more sources
Strongly homogeneous torsion free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 1976 An abelian group is strongly homogeneous if for any two pure rank 1 subgroups there is an automorphism sending one onto the other. Finite rank torsion free strongly homogeneous groups are characterized as the tensor product of certain subrings of algebraic number fields with finite direct sums of isomorphic subgroups of Q Q , the ...
Donald M. Arnold
+4 more sources
A note on torsion-free abelian groups of finite rank [PDF]
Proceedings of the American Mathematical Society, 1973 Let G be a torsion-free abelian group of rank n and X= {xl, *. , x,j a maximal set of rationally independent elements in G. It is well known that any g e G can be uniquely written g= oc1xl?+ +x, for some cci, . , ?C72, E Q, the rational numbers. This enables us to define, for any such (G, X), a collection of subgroups of Q and "natural" isomorphisms ...
W. Wickless, C. Vinsonhaler
+5 more sources
Abelian rank of normal torsion-free finite index subgroups of polyhedral groups [PDF]
Transactions of the American Mathematical Society, 1985 Suppose that P P is a convex polyhedron in the hyperbolic 3 3 -space with finite volume and P P has integer ( > 1 ) ( > 1) submultiples of π \pi as dihedral angles.
Youn W. Lee
openalex +3 more sources
Hypertypes of torsion-free abelian groups of finite rank [PDF]
Bulletin of the Australian Mathematical Society, 1989 Let G be a torsion-free abelian group of finite rank n and let F be a full free subgroup of G. Then G/F is isomorphic to T1 ⊕ … ⊕ Tn, where T1 ⊆ T2 ⊆ … ⊆ Tn ⊆ ℚ/ℤ. It is well known that type T1 = inner type G and type Tn = outer type G. In this note we give two characterisations of type Ti for 1 < i < n.
H. Pat Goeters +2 more
openalex +3 more sources
Self-Cancellation of Torsion-Free Abelian Groups of Finite Rank [PDF]
Journal of Mathematical Sciences, 2002 An Abelian group \(A\) is said to have self-cancellation if \(A\oplus A\cong A\oplus B\) implies \(A\cong B\). A very simple example of a rank 4 torsion-free Abelian group without the self-cancellation property is constructed. The construction is based on the author's criterion [Algebra Anal. 7, No. 6, 33-78 (1995); corrections ibid. 11, No. 4, 222-224
A. V. Blazhenov
openalex +3 more sources
A note on quasi-isomorphism of torsion free abelian groups of finite rank [PDF]
Czechoslovak Mathematical Journal, 1965 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ladislav Procházka
openalex +3 more sources
Torsion-free abelian groups of finite rank and fields of finite transcendence degree [PDF]
The Journal of Symbolic LogicAbstract Let $\operatorname {TFAb}_r$ be the class of torsion-free abelian groups of rank r, and let $\operatorname {FD}_r$ be the class of fields of characteristic $0$ and transcendence degree r. We compare these classes using various notions.
Meng-Che Ho +2 more
openalex +3 more sources