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|Title:||Modules without Self-Extensions over Radical Cube Zero Rings||Authors:||Schulz, R.||Issue Date:||1-Jul-1994||Citation:||Schulz, R. (1994-07-01). Modules without Self-Extensions over Radical Cube Zero Rings. Journal of Algebra 167 (1) : 100-103. ScholarBank@NUS Repository. https://doi.org/10.1006/jabr.1994.1177||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., Exti R(M, M) ≠ 0 for some i ≥ 1. We show that Tachikawa′s conjecture holds for a class of radical cube zero rings. © 1994 Academic Press. All rights reserved.||Source Title:||Journal of Algebra||URI:||http://scholarbank.nus.edu.sg/handle/10635/103558||ISSN:||00218693||DOI:||10.1006/jabr.1994.1177|
|Appears in Collections:||Staff Publications|
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