scientific article; zbMATH DE number 7486034
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Publication:5862399
zbMath1489.16026MaRDI QIDQ5862399
Publication date: 9 March 2022
Full work available at URL: http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1767
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Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Ring-theoretic aspects of quantum groups (16T20)
Related Items (2)
On weak annihilators and nilpotent associated primes of skew PBW extensions ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions
Cites Work
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- \(d\)-Hermite rings and skew \(PBW\) extensions
- Extended modules and Ore 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
- \(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations
- Armendariz rings
- A taxonomy of 2-primal rings.
- Extensions of reversible rings.
- \(\sigma \)-PBW extensions of skew Armendariz rings
- Skew Poincaré-Birkhoff-Witt extensions over weak zip rings
- Polynomial Ore extensions of Baer and p.p.-rings.
- Theory of non-commutative polynomials
- Centralizers in PBW extensions
- The McCoy condition on skew Poincaré-Birkhoff-Witt extensions
- Radicals and Köthe's conjecture for skew PBW 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
- Prime ideals of skew PBW extensions
- Armendariz rings and gaussian rings
- ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
- ON (α, δ)-SKEW ARMENDARIZ RINGS
- ASSOCIATED PRIMES OVER ORE EXTENSION RINGS
- BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS
- Computation of point modules of finitely semi-graded rings
- Koszulity for graded skew PBW extensions
- Non-commutative algebraic geometry of semi-graded rings
- Associated prime ideals over skew PBW extensions
- Center of skew PBW extensions
- Skew PBW Extensions
- Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions
- PBW BASES FOR SOME 3-DIMENSIONAL SKEW POLYNOMIAL ALGEBRAS
- On Weak Symmetric Rings
- Some Homological Properties of SkewPBWExtensions
- On Weak Armendariz Rings
- Near-rings in which each element is a power of itself
- On the Representation of Modules by Sheaves of Factor Modules
- Universal property of skew $PBW$ extensions
- Minimal prime ideals of skew PBW extensions over 2-primal compatible rings
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