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https://doi.org/10.1006/jabr.1994.1177
| 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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