Modules with semi-local endomorphism ring

Herbera, Dolors; Shamsuddin, Ahmad

doi:10.1090/S0002-9939-1995-1277114-8

Modules with semi-local endomorphism ring
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by Dolors Herbera and Ahmad Shamsuddin PDF

Proc. Amer. Math. Soc. 123 (1995), 3593-3600 Request permission

Abstract:

We use the concept of dual Goldie dimension and a characterization of semi-local rings due to Camps and Dicks (1993) to find some classes of modules with semi-local endomorphism ring. We deduce that linearly compact modules have semi-local endomorphism ring, cancel from direct sums and satisfy the n th root uniqueness property. We also deduce that modules over commutative rings satisfying $AB{5^ \ast }$ also cancel from direct sums and satisfy the n th root uniqueness property.

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