Baer–Specker group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Baer–Specker group" in English language version.

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Blass & Göbel (1996) attribute this result to Specker (1950). They write it in the form $P^{*}\cong S$ where $P$ denotes the Baer-Specker group, the star operator gives the dual group of homomorphisms to $\mathbb {Z}$ , and $S$ is the free abelian group of countable rank. They continue, "It follows that $P$ has no direct summand isomorphic to $S$ ", from which an immediate consequence is that $P$ is not free abelian. Blass, Andreas; Göbel, Rüdiger (1996), "Subgroups of the Baer-Specker group with few endomorphisms but large dual", Fundamenta Mathematicae, 149 (1): 19–29, arXiv:math/9405206, Bibcode:1994math......5206B, doi:10.4064/fm-149-1-19-29, MR 1372355, S2CID 18281146. Specker, Ernst (1950), "Additive Gruppen von Folgen ganzer Zahlen", Portugaliae Mathematica, 9: 131–140, MR 0039719.

Blass & Göbel (1996) attribute this result to Specker (1950). They write it in the form $P^{*}\cong S$ where $P$ denotes the Baer-Specker group, the star operator gives the dual group of homomorphisms to $\mathbb {Z}$ , and $S$ is the free abelian group of countable rank. They continue, "It follows that $P$ has no direct summand isomorphic to $S$ ", from which an immediate consequence is that $P$ is not free abelian. Blass, Andreas; Göbel, Rüdiger (1996), "Subgroups of the Baer-Specker group with few endomorphisms but large dual", Fundamenta Mathematicae, 149 (1): 19–29, arXiv:math/9405206, Bibcode:1994math......5206B, doi:10.4064/fm-149-1-19-29, MR 1372355, S2CID 18281146. Specker, Ernst (1950), "Additive Gruppen von Folgen ganzer Zahlen", Portugaliae Mathematica, 9: 131–140, MR 0039719.

Blass & Göbel (1996) attribute this result to Specker (1950). They write it in the form $P^{*}\cong S$ where $P$ denotes the Baer-Specker group, the star operator gives the dual group of homomorphisms to $\mathbb {Z}$ , and $S$ is the free abelian group of countable rank. They continue, "It follows that $P$ has no direct summand isomorphic to $S$ ", from which an immediate consequence is that $P$ is not free abelian. Blass, Andreas; Göbel, Rüdiger (1996), "Subgroups of the Baer-Specker group with few endomorphisms but large dual", Fundamenta Mathematicae, 149 (1): 19–29, arXiv:math/9405206, Bibcode:1994math......5206B, doi:10.4064/fm-149-1-19-29, MR 1372355, S2CID 18281146. Specker, Ernst (1950), "Additive Gruppen von Folgen ganzer Zahlen", Portugaliae Mathematica, 9: 131–140, MR 0039719.

Blass & Göbel (1996) attribute this result to Specker (1950). They write it in the form $P^{*}\cong S$ where $P$ denotes the Baer-Specker group, the star operator gives the dual group of homomorphisms to $\mathbb {Z}$ , and $S$ is the free abelian group of countable rank. They continue, "It follows that $P$ has no direct summand isomorphic to $S$ ", from which an immediate consequence is that $P$ is not free abelian. Blass, Andreas; Göbel, Rüdiger (1996), "Subgroups of the Baer-Specker group with few endomorphisms but large dual", Fundamenta Mathematicae, 149 (1): 19–29, arXiv:math/9405206, Bibcode:1994math......5206B, doi:10.4064/fm-149-1-19-29, MR 1372355, S2CID 18281146. Specker, Ernst (1950), "Additive Gruppen von Folgen ganzer Zahlen", Portugaliae Mathematica, 9: 131–140, MR 0039719.

Blass & Göbel (1996) attribute this result to Specker (1950). They write it in the form $P^{*}\cong S$ where $P$ denotes the Baer-Specker group, the star operator gives the dual group of homomorphisms to $\mathbb {Z}$ , and $S$ is the free abelian group of countable rank. They continue, "It follows that $P$ has no direct summand isomorphic to $S$ ", from which an immediate consequence is that $P$ is not free abelian. Blass, Andreas; Göbel, Rüdiger (1996), "Subgroups of the Baer-Specker group with few endomorphisms but large dual", Fundamenta Mathematicae, 149 (1): 19–29, arXiv:math/9405206, Bibcode:1994math......5206B, doi:10.4064/fm-149-1-19-29, MR 1372355, S2CID 18281146. Specker, Ernst (1950), "Additive Gruppen von Folgen ganzer Zahlen", Portugaliae Mathematica, 9: 131–140, MR 0039719.