On associative algebras satisfying the identity \(x^5 = 0\)
We study Kuzmin's conjecture on the index of nilpotency for the variety \(\mathcal{N} il_5\) of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for \(k\)-generator \(\mathcal{N} il_5\)-superalgebras, where \(k\leq 5\). We confirm Kuzmin's con...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/983 |
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| Journal Title: | Algebra and Discrete Mathematics |