Specht property of varieties of graded Lie algebras
DOI10.1007/s00605-023-01840-3zbMath1527.16024arXiv2208.08550OpenAlexW4361004198MaRDI QIDQ6109720
Plamen Koshlukov, Daniela Martinez Correa
Publication date: 28 July 2023
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.08550
graded Lie algebrasupper triangular matricesgraded polynomial identitiesfinite basis of identitiesSpecht problem
Other kinds of identities (generalized polynomial, rational, involution) (16R50) Identities, free Lie (super)algebras (17B01) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)
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Cites Work
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- Elementary gradings on the Lie algebra \(UT_n^{(-)}\)
- 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two
- Finiteness of basis of identities of a finitely generated alternative PI- algebra over a field of characteristic zero
- The Specht property of the ideals of identities of certain simple nonassociative algebras
- The finite basis property for certain varieties of Lie algebras
- On identities in Lie algebras
- Finite basis property for certain varieties of algebras
- Partially ordered sets and nonmatrix identities of associative algebras
- Identities of Lie algebras with nilpotent commutator ideal over a field of finite characteristic
- Identities satisfied by a finite ring
- Specht property for some varieties of Jordan algebras of almost polynomial growth
- Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
- Varieties of associative rings. I
- Polynomial identities for the Jordan algebra of upper triangular matrices of order 2
- Representability and Specht problem for \(G\)-graded algebras.
- The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property
- \(\mathbb{Z}\)-graded identities of the Lie algebra \(W_1\)
- Graded polynomial identities and Specht property of the Lie algebra \(sl_2\)
- Identical relations in finite groups
- Specht property for the 2-graded identities of the Jordan algebra of a bilinear form
- A note on cocharacter sequence of Jordan upper triangular matrix algebra
- Identities of PI-Algebras Graded by a Finite Abelian Group
- GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl2(K)
- VARIETIES AND $ Z_2$-GRADED ALGEBRAS
- Polynomial identities for a family of simple jordan algebras
- Abelian-By-Nilpotent Varities of Lie Algebras
- IDENTICAL RELATIONS IN FINITE LIE RINGS
- Examples ofT-spaces with an infinite basis
- Counterexamples to the Specht problem
- -graded identities of the Lie algebras in characteristic 2
- VARIETIES OF LIE ALGEBRAS
- Ordering by Divisibility in Abstract Algebras
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