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pro vyhledávání: '"Schultz, Phill"'
Autor:
Schultz, Phill
The lattice of ideals of the torsion ideal of the endomorphism ring of an abelian p-group is classified by a system of cardinal invariants.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2405.16010
Autor:
Schultz, Phill
The lattice of fully invariant subgroups of an abelian $p$--group and the lattice of ideals of its endomorphism ring are classified by systems of cardinal invariants.
Comment: 18 pages, no figures
Comment: 18 pages, no figures
Externí odkaz:
http://arxiv.org/abs/2311.01760
Autor:
Schultz, Phill
Every torsion--free abelian group of finite rank has two essentially unique complete direct decompositions whose summands come from specific classes of groups.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2007.07508
Autor:
Schultz, Phill
Let G be a torsion-free abelian group of finite rank. The orbits of the action of Aut(G) on the set of maximal independent subsets of G determine the indecomposable decompositions of G. G contains a direct sum of pure strongly indecomposable groups a
Externí odkaz:
http://arxiv.org/abs/2004.05138
Autor:
Schultz, Phill
Let G be a torsion--free abelian group of finite rank. The automorphism group Aut(G) acts on the set of maximal independent subsets of G. The orbits of this action are the isomorphism classes of indecomposable decompositions of G. G contains a direct
Externí odkaz:
http://arxiv.org/abs/1909.11945
Autor:
Mader, Adolf, Schultz, Phill
An indecomposable decomposition of a torsion-free abelian group $G$ of rank $n$ is a decomposition $G=A_1\oplus\cdots\oplus A_t$ where $A_i$ is indecomposable of rank $r_i$ so that $\sum_i r_i=n$ is a partition of $n$. The group $G$ may have decompos
Externí odkaz:
http://arxiv.org/abs/1802.09768
Autor:
Mader, Adolf, Schultz, Phill
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 $C$ uniq
Externí odkaz:
http://arxiv.org/abs/1701.02460
We classify by numerical invariants the finite subgroups $H$ of a primary abelian group $G$ for which every homomorphism or monomorphism of $H$ into $G$, or every endomorphism of $H$, extends to an endomorphism of $G$. We apply these results to show
Externí odkaz:
http://arxiv.org/abs/1304.3373
Publikováno v:
In Journal of Algebra 15 June 2019 528:72-84
Autor:
MADER, ADOLF, SCHULTZ, PHILL
Publikováno v:
Proceedings of the American Mathematical Society, 2018 Jan 01. 146(1), 93-96.
Externí odkaz:
https://www.jstor.org/stable/90016409