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Original Articles

Gröbner Bases for Ideals of σ-PBW Extensions

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Pages 50-75 | Received 27 Apr 2009, Published online: 20 Jan 2011

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (7)

Sebastián Higuera & Armando Reyes. (2023) On weak annihilators and nilpotent associated primes of skew PBW extensions. Communications in Algebra 51:11, pages 4839-4861.
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Héctor Suárez, Andrés Chacón & Armando Reyes. (2022) On NI and NJ skew PBW extensions. Communications in Algebra 50:8, pages 3261-3275.
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Arturo Niño, María Camila Ramírez & Armando Reyes. (2020) Associated prime ideals over skew PBW extensions. Communications in Algebra 48:12, pages 5038-5055.
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José Oswaldo Lezama. (2020) Computation of point modules of finitely semi-graded rings. Communications in Algebra 48:2, pages 866-878.
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James Yair Gómez & Héctor Suárez. (2020) Double Ore extensions versus graded skew PBW extensions. Communications in Algebra 48:1, pages 185-197.
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Armando Reyes. (2019) Armendariz modules over skew PBW extensions. Communications in Algebra 47:3, pages 1248-1270.
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Héctor Suárez. (2017) Koszulity for graded skew PBW extensions. Communications in Algebra 45:10, pages 4569-4580.
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Articles from other publishers (25)

M. Abdi & Y. Talebi. (2023) On the diameter of the zero-divisor graph over skew PBW extensions. Journal of Algebra and Its Applications 23:05.
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Andrés Abella & Iván Pan. (2022) On derivations of differential Ore extensions. Journal of Algebra and Its Applications 23:03.
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Héctor Suárez, Sebastián Higuera & Armando Reyes. (2024) On Σ-skew reflexive-nilpotents-property for rings. Algebra and Discrete Mathematics 37:1, pages 134-159.
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Héctor Suárez & Armando Reyes. (2023) $$\Sigma$$-Semicommutative rings and their skew PBW extensions. São Paulo Journal of Mathematical Sciences 17:2, pages 531-554.
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Héctor Suárez, Armando Reyes & Yésica Suárez. (2022) Homogenized skew PBW extensions. Arabian Journal of Mathematics 12:1, pages 247-263.
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Armando Reyes & Fabio Calderón. (2022) Some interactions between Hopf Galois extensions and noncommutative rings. Universitas Scientiarum 27:2, pages 58-161.
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Alessandro Ardizzoni, Paolo Saracco & Dragoş Ştefan. (2022) PBW-deformations of graded rings. Israel Journal of Mathematics 249:2, pages 769-856.
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Alban Quadrat & Rosane Ushirobira. 2022. Accounting for Constraints in Delay Systems. Accounting for Constraints in Delay Systems 87 107 .
Armando Reyes & Héctor Suárez. (2019) Radicals and Köthe’s Conjecture for Skew PBW Extensions. Communications in Mathematics and Statistics 9:2, pages 119-138.
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Héctor Suárez, Duban Cáceres & Armando Reyes. (2021) Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas. Revista Integración 39:1.
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Armando Reyes & Camilo Rodríguez. (2019) The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions. Communications in Mathematics and Statistics 9:1, pages 1-21.
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A. Reyes & H. Suárez. (2021) Skew PBW extensions over symmetric rings. Algebra and Discrete Mathematics 32:1, pages 76-102.
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Armando Reyes & Héctor Suárez. (2019) Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings. Journal of Algebra and Its Applications 19:12, pages 2050225.
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A. Niño & A. Reyes. (2020) Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions. Algebra and Discrete Mathematics 30:2, pages 207-229.
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B. A. Zambrano. (2020) Poisson brackets on some skew PBW extensions. Algebra and Discrete Mathematics 29:2, pages 277-302.
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Alex Behakanira Tumwesigye, Johan Richter & Sergei Silvestrov. 2020. Algebraic Structures and Applications. Algebraic Structures and Applications 469 490 .
Oswaldo Lezama & Jaime Gomez. (2019) Koszulity and Point Modules of Finitely Semi-Graded Rings and Algebras. Symmetry 11:7, pages 881.
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Héctor Suárez & Armando Reyes. (2019) Nakayama Automorphism of Some Skew PBW Extensions. Ingeniería y Ciencia 15:29, pages 157-177.
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Armando Reyes & Héctor Suárez. (2018) Skew Poincaré–Birkhoff–Witt extensions over weak zip rings. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 60:2, pages 197-216.
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Armando Reyes & Yésica Suárez. (2018) On the ACCP in skew Poincaré–Birkhoff–Witt extensions. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59:4, pages 625-643.
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Armando Reyes & Julio Jaramillo. (2018) Symmetry and reversibility properties for quantum algebras and skew Poincaré-Birkhoff-Witt extensions. Ingeniería y Ciencia 14:27, pages 29-52.
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Armando Reyes & Héctor Suárez. (2017) $$\varvec{\sigma }$$ σ -PBW Extensions of Skew Armendariz Rings. Advances in Applied Clifford Algebras 27:4, pages 3197-3224.
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Héctor Julio Suárez Suárez & Milton Armando Reyes Villamil. (2016) Some Remarks About the Cyclic Homology of Skew PBW Extensions / Algunas observaciones sobre la homología cíclica de extensiones PBW torcidas. Ciencia en Desarrollo 7:2, pages 99-108.
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D. Robertz. (2014) Recent progress in an algebraic analysis approach to linear systems. Multidimensional Systems and Signal Processing 26:2, pages 349-388.
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A. Quadrat & D. Robertz. (2014) A Constructive Study of the Module Structure of Rings of Partial Differential Operators. Acta Applicandae Mathematicae 133:1, pages 187-234.
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