Results 201 to 210 of about 120,594 (244)

Post-Lie algebra structures for perfect Lie algebras. [PDF]

open access: yesCommun Algebra
Burde D, Dekimpe K, Monadjem M.
europepmc   +1 more source

Exact projected entangled pair ground states with topological Euler invariant. [PDF]

open access: yesNat Commun
Wahl TB   +4 more
europepmc   +1 more source

On Torsion-Free Abelian k-Groups

Proceedings of the American Mathematical Society, 1987
A height sequence s is a function on primes p with values \(s_ p\) natural numbers or \(\infty\). The height sequence \(| x|\) of an element x in a torsion-free abelian group G is defined by \(| x|_ p=height\) of x at p. For a height sequence s, \(G(s)=\{x\in G:| x| \geq s\}\), \(G(ps)=\{x\in G(s):| x|_ p\geq s_ p+1\}\), \(G(s^*)=\{x\in G(s):\sum_{p}(|
Dugas, Manfred, Rangaswamy, K. M.
openaire   +1 more source

ENDOPRIMAL TORSION-FREE SEPARABLE ABELIAN GROUPS

Journal of Algebra and Its Applications, 2004
We give a characterization for the groups in the title in terms of the graph structure of the critical types occurring in the group. Moreover, we give an example of arbitrarily large endoprimal indecomposable groups.
Göbel, R.   +3 more
openaire   +1 more source

On locally free Abelian groups

Mathematical Notes, 2005
An Abelian group is called `locally free' if all its subgroups of finite rank are free. In the present paper it is proved that a torsion-free group is a locally free group if and only if it is a direct limit of an inductive system of finitely generated free groups such that each map in this system is an embedding onto a direct summand (such a system is
openaire   +1 more source

FREE ABELIAN TOPOLOGICAL GROUPS ON SPHERES

The Quarterly Journal of Mathematics, 1984
If X is a completely regular topological space, then the abelian topological group F(X) is a (Markov) free abelian topological group on X if X is a subspace of F(X), X generates F(X) algebraically and for every continuous mapping \(\phi\) of X into any abelian topological group G there exists a continuous homomorphism \(\Phi\) of F(X) into G that ...
Katz, Eli   +2 more
openaire   +3 more sources

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