The nilpotency of the radical in a finitely generated P.I. ring
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Publication:793129
DOI10.1016/0021-8693(84)90224-2zbMath0538.16013OpenAlexW2011309242MaRDI QIDQ793129
Publication date: 1984
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(84)90224-2
Related Items (46)
Group algebras and enveloping algebras with nonmatrix and semigroup identities ⋮ Flatness over PI coideal subalgebras ⋮ First-order rigidity of rings satisfying polynomial identities ⋮ The embeddability of affine PI-algebras in rings of matrices ⋮ Applications of epigroups to graded ring theory ⋮ Azumaya semigroup algebras ⋮ Power closure and the Engel condition ⋮ Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity ⋮ Rings which are modules in the Bernstein-Gelfand-Gelfand \(\mathcal O\) category ⋮ Invariants of the action of a semisimple Hopf algebra on PI-algebra ⋮ PI-algebras generated by nilpotent elements of bounded index ⋮ On Gelfand-Kirillov dimension and related topics ⋮ When is a power of the Frobenius map on a noncommutative ring a homomorphism? ⋮ Lie identities on symmetric elements of restricted enveloping algebras ⋮ The tensor product of Lie soluble algebras ⋮ On group graded rings satisfying polynomial identities ⋮ Algebras of bounded finite dimensional representation type ⋮ Nil subrings of endomorphism rings of finitely generated modules over affine PI-rings. ⋮ On associative algebras satisfying the Engel condition ⋮ Some Applications of Algebra to Automatic Sequences ⋮ Self-injective von Neumann regular rings and Köthe's conjecture ⋮ On the multiplicative semigroup of a ring ⋮ Unnamed Item ⋮ Structural theory of special Lie algebras ⋮ Determinants, integrality and Noether's theorem for quantum commutative algebras ⋮ PBW-Pairs of Varieties of Linear Algebras ⋮ Structure of prime finitely presented monomial algebras. ⋮ Characterization of non-matrix varieties of associative algebras. ⋮ On the Lie algebra of skew-symmetric elements of an enveloping algebra ⋮ Finite-dimensional representations of PI algebras ⋮ On monomial algebras ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. ⋮ On free subsemigroups of associative algebras ⋮ The radical \(RN\) and the weakly solvable radical of linear groups over associative rings. ⋮ On complemented radicals ⋮ 𝑛-torsion clean rings ⋮ The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation ⋮ Gröbner bases and the Nagata automorphism ⋮ Radical rings with Engel conditions ⋮ Specht’s problem for associative affine algebras over commutative Noetherian rings ⋮ On the polynomial representations of current algebras ⋮ On radicals of monomial algebras ⋮ Behaviour of the Frobenius map in a noncommutative world ⋮ RINGS SATISFYING GENERALIZED ENGEL CONDITIONS ⋮ On Z2-graded polynomial identities of verbally semiprime algebras ⋮ Almost PI algebras are PI
Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Prime ideals in PI-rings
- On Artin's theorem and Azumaya algebras
- Integral extensions of rings satisfying a polynomial identity
- Azumaya algebras and Artin's theorem
- The Jacobson radical in PI-algebras
- Non-commutative affine P. I. rings are catenary
- Complexity of nonmatrix varieties of associative algebras. II
- Affine polynomial identity rings and their generalizations
- Separable algebras over commutative rings
- Anneaux semi-premiers, noethériens, à identités polynômiales
- A Matrix Representation for Associative Algebras. I
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