Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions

DOI10.12958/adm1307zbMath1484.16027OpenAlexW3127948662MaRDI QIDQ5158948

No author found.

Publication date: 26 October 2021

Published in: Algebra and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12958/adm1307

zbMATH Keywords

minimal prime idealskew PBW extension2-primal ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (7)

On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras ⋮ On NI and NJ skew PBW extensions ⋮ Unnamed Item ⋮ \(\sigma \)-PBW extensions of skew Armendariz rings ⋮ On weak annihilators and nilpotent associated primes of skew PBW extensions ⋮ Associated prime ideals over skew PBW extensions ⋮ Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

Cites Work

• \(d\)-Hermite rings and skew \(PBW\) extensions
• Non-commutative Gröbner bases in algebras of solvable type
• Derivations of skew PBW-extensions.
• Uniform rank over differential operator rings and Poincaré-Birkhoff- Witt extensions
• A taxonomy of 2-primal rings.
• Ore extensions of Baer and p.p.-rings.
• \(\sigma \)-PBW extensions of skew Armendariz rings
• Skew Poincaré-Birkhoff-Witt extensions over weak zip rings
• Theory of non-commutative polynomials
• On the ACCP in skew Poincaré-Birkhoff-Witt extensions
• The McCoy condition on skew Poincaré-Birkhoff-Witt extensions
• Radicals and Köthe's conjecture for skew PBW extensions
• ON 2-PRIMAL ORE EXTENSIONS
• Diffusion algebras
• Skew PBW Extensions of Baer, quasi-Baer, p.p. and p.q.-rings
• Gr\"obner bases of modules over sigma-PBW extensions
• Projective modules and Gröbner bases for skew PBW extensions
• Commutants in Crossed Product Algebras for Piece-Wise Constant Functions
• On differential rings and skew pulynomials
• Generalized Rigid Modules and Their Polynomial Extensions
• Prime ideals of skew PBW extensions
• Skew polynomial rings over 2-primal rings
• Prime ideals in skew and 𝑞-skew polynomial rings
• ENVELOPING ALGEBRA AND SKEW CALABI-YAU ALGEBRAS OVER SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
• Prime Ideals and Sheaf Representation of a Pseudo Symmetric Ring
• BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS
• Computation of point modules of finitely semi-graded rings
• Non-commutative algebraic geometry of semi-graded rings
• Associated prime ideals over skew PBW extensions
• Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings
• Center of skew PBW extensions
• Skew PBW Extensions
• Some Homological Properties of SkewPBWExtensions
• Armendariz modules over skew PBW extensions
• Universal property of skew $PBW$ extensions
• Minimal prime ideals of skew PBW extensions over 2-primal compatible rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions