Trichotomy for finitely generated monomial algebras.

DOI10.1016/j.jalgebra.2014.06.033zbMath1311.16022OpenAlexW1973005151MaRDI QIDQ404561

Okniński, Jan

Publication date: 4 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.06.033

zbMATH Keywords

prime algebrassemigroup algebrasfinitely generated monomial algebrastrichotomy

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (4)

Free subalgebras of graded algebras ⋮ Growth of monomial algebras, simple rings and free subalgebras ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Finitely presented algebras defined by permutation relations of dihedral type

Cites Work

• Structure of prime finitely presented monomial algebras.
• Primitivity of finitely presented monomial algebras.
• The prime spectrum of algebras of quadratic growth.
• On radicals of monomial algebras
• NOETHERIAN SEMIGROUP ALGEBRAS
• Unnamed Item

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