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Algebra Colloquium Volume 7 Issue 1

Subject Areas: Algebra and Number Theory
Publisher: Springer-Verlag - Springer Journals
ISSN: 1005-3867
SJR: 27

LitStream

Journal Article

When Are All Functions from a Groupoid into Itself Endomorphisms or Translations?

Devillier, Chris

2000 Algebra Colloquium

doi:10.1007/s10011-000-0099-9

This paper classifies all groupoids that have the property that every map from the groupoid to itself is either an endomorphism or a multiplication map.
LitStream

Journal Article

On Connected Transversals to Dihedral Subgroups of Order 2p n

Csörgö, Piroska; Myllylä, Kari; Niemenmaa, Markku

2000 Algebra Colloquium

doi:10.1007/s10011-000-0105-2

Let G be a group with a dihedral subgroup H of order 2p n , where p is an odd prime. We show that if there exist H-connected transversals in G, then G is a solvable group. We apply this result to the loop theory and show that if the inner mapping group of a finite loop Q is dihedral of order 2p...
LitStream

Journal Article

Projective S-acts and Exact Functors

Chen, Yuqun

2000 Algebra Colloquium

doi:10.1007/s10011-000-0113-2

Let S be a semigroup. In this paper, projective S-acts and exact sequences in S-Act are studied. It is shown that, for a unitary S-act P, the functor Hom(P, –) is exact if and only if P ≅ Se for some idempotent e ɛ S.

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