On modules whose endomorphism ring is local |
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Authors: | István Beck |
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Institution: | (1) Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel;(2) Present address: Department of Mathematics, University of Bergen, 5014 Bergen, Norway |
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Abstract: | The paper is a study of modules with a local endomorphism ring. We consider decompositions of modules and give a simple proof
of Azumaya’s theorem. We also define an equivalence relation on the family of direct summands of a module, and show that the
properties of a decomposition are closely related to the properties of this equivalence relation.
Supported by the Norwegian Research Council for Science and the Humanities. |
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Keywords: | |
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