PRIMES OF HEIGHT ONE AND A CLASS OF NOETHERIAN FINITELY PRESENTED ALGEBRAS

DOI10.1142/S0218196707004347zbMath1144.16022arXivmath/0609786OpenAlexW2103643942MaRDI QIDQ3502836

Isabel Goffa, Eric Jespers, Okniński, Jan

Publication date: 20 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609786

zbMATH Keywords

polycyclic-by-finite groupssemigroup algebrasmaximal ordersfinitely presented algebrasNoetherian algebrasmonoid algebrasheight one prime ideals

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25) Ideals in associative algebras (16D25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Noetherian rings and modules (associative rings and algebras) (16P40) Identities other than those of matrices over commutative rings (16R40)

Related Items (6)

Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orders. ⋮ Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses ⋮ Krull orders in nilpotent groups. ⋮ NORMAL DOMAINS WITH MONOMIAL PRESENTATIONS ⋮ Noetherian Semigroup Algebras and Beyond ⋮ Semigroup algebras and Noetherian maximal orders: a survey.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monoids of IG-type and maximal orders.
• Noetherian semigroup algebras.
• Anneaux de Krull non commutatifs
• Binomial semigroups
• Semigroups of \(I\)-type
• Height-one prime ideals in semigroup algebras satisfying a polynomial identity
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Prime Ideals of Cancellative Semigroups
• On some Subsemigroups of noncommutative krull rings
• Casimirs of the Goldman Lie algebra of a closed surface
• Group graded rings
• The divisor class group of a semigroup ring
• On radicals of graded rings
• Graded krull domains
• A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
• NOETHERIAN SEMIGROUP ALGEBRAS
• Semigroup algebras and Noetherian maximal orders
• Submonoids of polycyclic-by-finite groups and their algebras

This page was built for publication: PRIMES OF HEIGHT ONE AND A CLASS OF NOETHERIAN FINITELY PRESENTED ALGEBRAS