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Multiplicities of Indecomposable Injectives
Author(s) -
Yekutieli Am,
Zhang James J.
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s002461070400571x
Subject(s) - indecomposable module , pure mathematics , resolution (logic) , injective function , noetherian , class (philosophy) , mathematics , projective module , algebra over a field , finitely generated abelian group , philosophy , computer science , epistemology , artificial intelligence
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.