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Projective modules and Gröbner bases for skew PBW extensions [PDF]

open access: yesDissertationes Mathematicae, 2017
Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincare- Birkhoff Witt) extensions. In the present paper we study two aspects of these non-commutative rings:
Oswaldo Lezama
exaly   +2 more sources

On the Uniform Dimension and the Associated Primes of Skew PBW Extensions

open access: yesBulletin of the Brazilian Mathematical Society
In this paper, we study the uniform dimension and the associated prime ideals of induced modules over skew PBW extensions.Comment: 21 ...
Armando Reyes
exaly   +1 more source
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Some Open Problems in the Context of Skew PBW Extensions and Semi-graded Rings

Communications in Mathematics and Statistics, 2021
Oswaldo Lezama
exaly  

On NI and NJ skew PBW extensions

Communications in Algebra, 2022
Armando Reyes, Héctor Suárez
exaly  

Communications in Algebra

Communications in Algebra, 2020
Héctor Suárez
exaly  

Σ\Sigma-Semicommutative rings and their skew PBW extensions

Sao Paulo Journal of Mathematical Sciences, 2023
Armando Reyes, Héctor Suárez
exaly  

Homogenized skew PBW extensions

Arabian Journal of Mathematics, 2022
Armando Reyes   +2 more
exaly  

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