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Prime rings for which the set of nonzero ideals is a special class
Published online by Cambridge University Press: 09 April 2009
Abstract
We show that the rings described in the title are precisely the indecomposable injectives for the category whose objects are the associative rings and whose morphisms are the ring homomorphisms with accessible images. These rings are more or less completely known. Those of cardinality greater than that of the continuum are subdirectly irreducible but there are some nontrivial principal ideal domains in the class.
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- Copyright © Australian Mathematical Society 1991
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