Optimal representability results of PI-algebras: nilpotency, growth and chain conditions
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Publication:6551457
DOI10.1090/CONM/800/16055MaRDI QIDQ6551457
Louis H. Rowen, Be'eri Greenfeld, Lance W. Small
Publication date: 7 June 2024
Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Noetherian rings and modules (associative rings and algebras) (16P40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)
Cites Work
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- Representability of algebras finite over their centers.
- Algebras over infinite fields, revisited
- Noetherian algebras over algebraically closed fields.
- The embeddability of affine PI-algebras in rings of matrices
- Representability of Noetherian finitely generated algebras
- Artinian quotient rings of FBN rings
- Affine PI-algebras not embeddable in matrix rings
- Stably Noetherian algebras of polynomial growth
- Some examples in PI ring theory
- Fixed Rings of Noetherian Rings
- Noetherian PI Rings not Module-Finite Over any Commutative Subring
- Primary decomposition in right noetherian rings
- A Matrix Representation for Associative Algebras. II
- Structure of Zariski-closed algebras
- On some infinitely presented associative algebras
- Affine algebras of Gelfand-Kirillov dimension one are PI
- A Note on Non-Commutative Noetherian Rings
- Subrings of Noetherian Rings
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