Ring of endomorphisms of a finite length module
Authors: R. N. Gupta and Surjeet Singh
Journal: Proc. Amer. Math. Soc. 94 (1985), 198-200
MSC: Primary 16A65; Secondary 16A05
MathSciNet review: 784161
Abstract: An example of a uniserial module of composition length 2, such that acting on the left is not right artinian, is given. An elementary proof of a known result, that the ring of endomorphism of a finite length quasi-injective module acting on the left is left artinian, is also given.
Keywords: Uniserial modules, ring of endomorphisms, quasi-injective, module, artinian ring, field of fractions
Article copyright: © Copyright 1985 American Mathematical Society