Primitivity of finitely presented monomial algebras.
DOI10.1016/j.jpaa.2008.11.039zbMath1182.16017arXiv0712.0815OpenAlexW2031365917MaRDI QIDQ1013104
Publication date: 16 April 2009
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.0815
prime algebrasmonomial algebrasPI algebrasfinitely presented algebrasprimitive algebrasautomaton algebras
Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)
Related Items (11)
Cites Work
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- Prime affine algebras of Gelfand-Kirillov dimension one
- On the primitivity of prime rings
- Monomial algebras
- Algebras which are nearly finite dimensional and their identities
- Examples in finite Gel'fand-Kirillov dimension
- The prime spectrum of algebras of quadratic growth.
- Automatic Sequences
- A Ring Primitive on the Right But Not on the Left
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