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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Pseudo-injective modules which are not quasi-injective


Author: Mark L. Teply
Journal: Proc. Amer. Math. Soc. 49 (1975), 305-310
MSC: Primary 16A52
DOI: https://doi.org/10.1090/S0002-9939-1975-0366977-3
MathSciNet review: 0366977
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Abstract: For certain rings with infinitely many nonisomorphic simple left modules, a method is given for constructing pseudo-injective modules which are not quasi-injective. This method is used to produce examples of such modules over a commutative ring.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0366977-3
Keywords: Quasi-injective module, pseudo-injective module, nonsingular module, Loewy length
Article copyright: © Copyright 1975 American Mathematical Society