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Transactions of the American Mathematical Society

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

 

 

Simple modules and centralizers


Author: John Dauns
Journal: Trans. Amer. Math. Soc. 166 (1972), 457-477
MSC: Primary 16A64
MathSciNet review: 0294387
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Abstract: A class of modules generalizing the simple ones is constructed. Submodule structure and centralizers of quotient modules are completely determined. The above class of modules is used to study the primitive ideal structure of the tensor products of algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0294387-8
Keywords: Simple-module, division ring, endomorphism ring, centralizer, double centralizer, tensor product, primitive ideal
Article copyright: © Copyright 1972 American Mathematical Society