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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type


Authors: Rüdiger Göbel and Warren May
Journal: Trans. Amer. Math. Soc. 349 (1997), 3535-3567
DOI: https://doi.org/10.1090/S0002-9947-97-01574-2
MathSciNet review: 1344206
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Abstract | References | Additional Information

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.


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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

DOI: https://doi.org/10.1090/S0002-9947-97-01574-2
Received by editor(s): August 24, 1994
Article copyright: © Copyright 1997 American Mathematical Society