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Modules without Self-Extensions over Radical Cube Zero Rings

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
167
Issue
1
Identifiers
DOI: 10.1006/jabr.1994.1177

Abstract

Abstract A conjecture of Tachikawa states that every finitely generated non-projective module M over a self-injective artinian ring R has a self-extension, i.e., Ext i R ( M, M) ≠ 0 for some i ≥ 1. We show that Tachikawa′s conjecture holds for a class of radical cube zero rings.

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