Structure of prime finitely presented monomial algebras.

DOI10.1016/j.jalgebra.2008.08.003zbMath1196.16025OpenAlexW2087945016MaRDI QIDQ958530

Okniński, Jan

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.08.003

zbMATH Keywords

prime idealssemigroup algebrasascending chain conditionfinitely generated free monoidsfinitely presented monomial algebrasprimitive algebrasRees factor semigroups

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (9)

Gröbner bases for quadratic algebras of skew type ⋮ On the semiprimitivity of finitely generated algebras ⋮ Trichotomy for finitely generated monomial algebras. ⋮ Unions of chains of primes ⋮ On a Class of Automaton Algebras ⋮ Prime and primitive algebras with prescribed growth types ⋮ Finitely presented algebras and groups defined by permutation relations. ⋮ A dichotomy result for prime algebras of Gelfand-Kirillov dimension two. ⋮ Iterative algebras.

Cites Work

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• Completely 0-simple semigroups of quotients III
• A combinatorial property and growth for semigroups of matrices
• On radicals of monomial algebras
• NOETHERIAN SEMIGROUP ALGEBRAS

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