Scalar-reflexive rings-Reference-Cited by-同舟云学术

Scalar-reflexive rings

Published:1988 Issue:1 Volume:103 Page:1-8
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hadwin Don,Kerr Jeanne Wald

Abstract

A module over a commutative ring is scalar-reflexive if the only endormorphisms that leave invariant every submodule are scalars. We investigate the class of rings for which every module is scalar-reflexive and the class of rings for which every finitely generated module is scalar-reflexive. For a certain class of rings we show that these properties are equivalent to every finitely generated module being a direct sum of cyclic modules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-01/S0002-9939-1988-0938634-2/S0002-9939-1988-0938634-2.pdf

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