TY - JOUR
T1 - Self-splitting abelian groups
AU - Schultz, Phill
PY - 2001
Y1 - 2001
N2 - G is a reduced torsion-free Abelian group such that for every direct sum circle plusG of copies of G(1) Ext(circle plusG, circle plusG) = 0 if and only if G is a free module over a rank 1 ring. For every direct product Pi G of copies of G, Ext (Pi G, Pi G) = 0 if and only if G is cotorsion.
AB - G is a reduced torsion-free Abelian group such that for every direct sum circle plusG of copies of G(1) Ext(circle plusG, circle plusG) = 0 if and only if G is a free module over a rank 1 ring. For every direct product Pi G of copies of G, Ext (Pi G, Pi G) = 0 if and only if G is cotorsion.
UR - https://www.scopus.com/pages/publications/0013466274
U2 - 10.1017/S0004972700019699
DO - 10.1017/S0004972700019699
M3 - Article
SN - 0004-9727
VL - 64
SP - 71
EP - 79
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
ER -