On polynomial identities in nil-algebras.

DOI10.1007/s10958-007-0336-6zbMath1155.16025OpenAlexW3159326639MaRDI QIDQ941937

E. V. Aladova

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0336-6

zbMATH Keywords

T-idealsSpecht propertypolynomial identitiesvarieties of algebrasprime characteristicinfinitely based varietiesSpecht problemfinite bases of identitiesassociative nil-algebrasinfinitely based systems of identities

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities other than those of matrices over commutative rings (16R40)

Related Items (1)

On polynomial identities in nil-algebras.

Cites Work

• The Nagata-Higman theorem
• On polynomial identities in nil-algebras.
• Galois extensions and quotient rings
• Complexity of nonmatrix varieties of associative algebras. II
• Gesetze in Ringen. I
• On the nilpotency of nil-algebras
• A Non-Finitely Based System of Polynomial Identities Which Contains the Identity x6 = 0
• The variety of associative rings is not a Specht variety
• Examples ofT-spaces with an infinite basis
• Counterexamples to the Specht problem
• An almost Spechtian variety of alternative algebras over a field of characteristic 3
• On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0
• VARIETIES OF LIE ALGEBRAS
• Uncountably many Varieties of Groups
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