Some estimations for nilpotence of nil-algebras over a field of an arbitrary characteristic and height theorem. (English) Zbl 0810.16023
Author’s abstract: “In this paper are obtained some estimations for the nilpotence degree of nil-algebras over a field of arbitrary characteristic and for the height in Shirshov’s sense. These estimations are exponential”.
Reviewer: L.A.Bokut’ (Novosibirsk)
MSC:
| 16R10 | \(T\)-ideals, identities, varieties of associative rings and algebras |
| 16N40 | Nil and nilpotent radicals, sets, ideals, associative rings |
References:
| [1] | Kurosh A.G., Problems in ring theory which are related to the Burnside problem on periodic groups Cin Russian) 5 pp 233– (1941) |
| [2] | Shirshov A.I., On rings with with identical relations 43 pp 277– (1957) · Zbl 0078.02402 |
| [3] | Nagata A., Bull. Amer . Math. Soc. 4 pp 296– (1952) |
| [4] | DOI: 10.1090/S0002-9904-1948-09049-8 · Zbl 0032.00701 · doi:10.1090/S0002-9904-1948-09049-8 |
| [5] | DOI: 10.1090/S0002-9904-1946-08705-4 · Zbl 0060.07404 · doi:10.1090/S0002-9904-1946-08705-4 |
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