$G$-projective groups
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- by C. Vinsonhaler and W. Wickless PDF
- Proc. Amer. Math. Soc. 92 (1984), 164-166 Request permission
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 $n$).References
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Additional Information
- © Copyright 1984 American Mathematical Society
- 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