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MULTIPLICITIES OF INDECOMPOSABLE INJECTIVES

Published online by Cambridge University Press:  04 February 2005

AMNON YEKUTIELI  and
JAMES J. ZHANG
AMNON YEKUTIELI
Affiliation:
Department of Mathematics, Ben Gurion University, Be'er Sheva 84105, Israelamyekut@math.bgu.ac.il
JAMES J. ZHANG
Affiliation:
Department of Mathematics, University of Washington, Seattle, WA 98195, USAzhang@math.washington.edu
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Abstract

Several results about the multiplicities of indecomposable injectives in the minimal injective resolution of a ring exist in the literature. Mostly these apply to universal enveloping algebras of finite dimensional solvable Lie algebras, and to Gorenstein noetherian PI local rings. These results are unified and extended to the much wider class of rings with Auslander dualizing complexes.

Keywords

16D9016E9916P40
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 1 , February 2005 , pp. 100 - 120
Copyright
The London Mathematical Society 2005

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