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Proceedings of the American Mathematical Society

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

 

 

Nonsingular modules and $ R$-homogeneous maps


Authors: Ulrich Albrecht and Jutta Hausen
Journal: Proc. Amer. Math. Soc. 123 (1995), 2381-2389
MSC: Primary 16N60; Secondary 16Y30
DOI: https://doi.org/10.1090/S0002-9939-1995-1254828-7
MathSciNet review: 1254828
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Abstract: A non-singular R-module M is a ray for the class of all non-singular modules if every R-homogeneous map from M into a non-singular module is additive. Every essential extension of a non-singular locally cyclic module is a ray. We investigate the structure of rays, and determine those semi-prime Goldie-rings for which all non-singular modules are rays and those rings for which the only rays are essential extensions of locally cyclic modules.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1254828-7
Keywords: Endomorphal, non-singular module, Goldie-ring
Article copyright: © Copyright 1995 American Mathematical Society