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Sandu, N. I.

Infinite independent systems of the identities of the associative algebra over an infinite field of characteristic \(p>0\). (English) Zbl 1081.16030

Czech. Math. J. 55, No. 1, 1-23 (2005).
Summary: Some infinitely based varieties of groups are constructed and these results are transferred to associative algebras (or Lie algebras) over an infinite field of arbitrary positive characteristic.

MSC:

16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
20E10 Quasivarieties and varieties of groups

Keywords:

associative algebras; infinite bases of identities; Specht problem
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References:

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[4] A. I. Belov: Counterexamples to the Specht?s problem. Matem. sb. 191 (2000), 13-24. (In Russian.) · Zbl 0960.16029
[5] N. I. Sandu: Infinite independent systems of the identities of the associative algebras over an infinite field of characteristic 2. Matem. Zametki 74 (2003), 603-611 (In Russian.); Mathematical notes 74 (2003), 569-577 (English transl.). · Zbl 1068.16024
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