An addendum and corrigendum to "Almost free splitters" (Colloq. Math. 81 (1999), 193-221)

• Autorzy: Rüdiger Göbel , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

Let R be a subring of the rational numbers ℚ. We recall from [3] that an R-module G is a splitter if $Ext¹_{R}(G,G) = 0$. In this note we correct the statement of Main Theorem 1.5 in [3] and discuss the existence of non-free splitters of cardinality ℵ₁ under the negation of the special continuum hypothesis CH.

Kategorie tematyczne

• 18E40: Torsion theories, radicals
• 20K35: Extensions
• 18G05: Projectives and injectives
• 18G25: Relative homological algebra, projective classes
• 20K30: Automorphisms, homomorphisms, endomorphisms, etc.
• 13D30: Torsion theory
• 13C05: Structure, classification theorems
• 20K40: Homological and categorical methods
• 20K20: Torsion-free groups, infinite rank
• 20K25: Direct sums, direct products, etc.
• 13C10: Projective and free modules and ideals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 1
• Strony: 155-158

Daty

wydano

2001

Twórcy

autor

Rüdiger Göbel

• Fachbereich 6, Mathematik und Informatik, Universität Essen, 45117 Essen, Germany

autor

Saharon Shelah

• Hebrew University, 91904 Jerusalem, Israel
• Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.

Identyfikatory

DOI

10.4064/cm88-1-11