Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type
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- by Rüdiger Göbel and Warren May PDF
- Trans. Amer. Math. Soc. 349 (1997), 3535-3567 Request permission
Abstract:
We will derive a general result for $R$-categories which allows us to derive the existence of large objects with prescribed endomorphism algebras from the existence of small families. This theorem is based on an earlier result of S. Shelah in which he established the existence of indecomposable abelian groups of any cardinality. We will apply this ‘Shelah-elevator’ for abelian groups and - which is our main concern - for prescribing endomorphism algebras of peak $I$-spaces which are classified by a recent result of Simson.References
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Additional Information
- Rüdiger Göbel
- Affiliation: Fachbereich 6, Mathematik und Informatik, Universität Essen, Universitätsstr. 3, 45117 Essen, Germany
- Email: R.Goebel@uni-essen.de
- Warren May
- Affiliation: Department of Mathematics, University of Arizona, Tucson, Arizona 85721
- Email: may@math.arizona.edu
- Received by editor(s): August 24, 1994
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 3535-3567
- DOI: https://doi.org/10.1090/S0002-9947-97-01574-2
- MathSciNet review: 1344206