Simple modules and centralizers-Reference-Cited by-同舟云学术

Simple modules and centralizers

Published:1972 Issue:0 Volume:166 Page:457-477
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Dauns John

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-166-00/S0002-9947-1972-0294387-8/S0002-9947-1972-0294387-8.pdf

Reference8 articles.

1. Chains of modules with completely reducible quotients;Dauns, John;Pacific J. Math.,1966

2. Multiplier rings and primitive ideals;Dauns, John;Trans. Amer. Math. Soc.,1969

3. Categorical 𝑊*-tensor product;Dauns, John;Trans. Amer. Math. Soc.,1972

4. Double centralizers of injectives and projectives over artinian rings;Fuller, Kent R.;Illinois J. Math.,1970

5. On indecomposable injectives over artinian rings;Fuller, Kent R.;Pacific J. Math.,1969

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