The standard identity in characteristic \(p\): A conjecture of I. B. Volichenko

DOI10.1007/BF02764837zbMath0795.16017OpenAlexW1971988543WikidataQ123229961 ScholiaQ123229961MaRDI QIDQ1261900

Alexander Kemer

Publication date: 7 September 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764837

zbMATH Keywords

characteristic \(p\)finitely generated algebraPI-algebrastandard identity\(T\)-idealsmultilinear polynomial identitiesnil-algebra of bounded index

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (13)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ On algebras satisfying symmetric identities ⋮ On permanental identities over matrix rings ⋮ Polynomial identities of algebras in positive characteristic. ⋮ \(\mathbb{Z}\)-graded polynomial identities of the Grassmann algebra ⋮ On the polynomial identities of the algebra \(M_{11}(E)\). ⋮ A characterization of the natural grading of the Grassmann algebra and its non-homogeneous \(\mathbb{Z}_2\)-gradings ⋮ ℤ2 and ℤ-graded central polynomials of the Grassmann algebra ⋮ New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ T-spaces and their applications. ⋮ \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. ⋮ PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic.

Cites Work

• IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD

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