On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2
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DOI: 10.1007/s10958-018-3757-5
Abstract: We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups G of rank 4 that are quasi-decomposable into a direct sum of groups A1 and A2 of rank 1 and a strongly indecomposable group… read more here.
Keywords: torsion free; endomorphism rings; groups rank; abelian groups ... See more keywords
Direct zero-sum problems for certain groups of rank three
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DOI: 10.1016/j.jnt.2018.08.016
Abstract: Abstract We determine the exact value of the η-constant and the multiwise Davenport constants for finite abelian groups of rank three having the form G ≃ C 2 ⊕ C n 2 ⊕ C n… read more here.
Keywords: sum problems; problems certain; rank three; direct zero ... See more keywords
Acentralizers of Abelian groups of rank 2
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DOI: 10.15672/hujms.546988
Abstract: Let $G$ be a group. The Acentralizer of an automorphism $\alpha$ of $G$, is the subgroup of fixed points of $\alpha$, i.e., $C_G(\alpha)= \{g\in G \mid \alpha(g)=g\}$. We show that if $G$ is a finite … read more here.
Keywords: acentralizers abelian; alpha; abelian groups; groups rank ... See more keywords
Rings of quasi-endomorphisms of some direct sums of torsion-free Abelian groups
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DOI: 10.3103/s1066369x17010078
Abstract: We consider a representation of quasi-endomorphisms of Abelian torsion-free groups of rank 4 bymatrices of order 4 over the field of rational numbers Q. We obtain a classification for quasi-endomorphism rings of Abelian torsion-free groups… read more here.
Keywords: torsion free; torsion; quasi endomorphisms; rings quasi ... See more keywords