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Jacobsons Lemma fails for nil-clean 2 × 2 integral matrices
- Source :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 28, Iss 3, Pp 83-88 (2020)
- Publication Year :
- 2020
- Publisher :
- Sciendo, 2020.
-
Abstract
- We show that for two 2 × 2 integral matrices A, B, if the product AB is nil-clean then BA may not be nil-clean. Despite the fact that for many special cases, BA is also nil-clean, we finally found three counterexamples. All the way, the computer aid was decisive.
Details
- Language :
- English
- ISSN :
- 18440835
- Volume :
- 28
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.454a7199bbd1417f82ee54cdf5d45d57
- Document Type :
- article
- Full Text :
- https://doi.org/10.2478/auom-2020-0035