$G$-projective groups
Authors:
C. Vinsonhaler and W. Wickless
Journal:
Proc. Amer. Math. Soc. 92 (1984), 164-166
MSC:
Primary 20K15; Secondary 20K40
DOI:
https://doi.org/10.1090/S0002-9939-1984-0754694-2
MathSciNet review:
754694
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Abstract: Let TF be the category of torsion free abelian groups of finite rank and homomorphisms. For $G$ in TF let ${\text {PC}}\left ( G \right )$ be the projective class in TF generated by $\left \{ G \right \}$. Theorem. ${\text {PC}}\left ( G \right )$ consists exactly of groups of the form $P \oplus F$, where $F$ is finite rank free and $P$ is $G$-projective $P \oplus P’ \cong {G^n}$ for some positive integer $n$).
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© Copyright 1984
American Mathematical Society
