Derivations of Skew PBW-Extensions

V. A. Artamonov

Communications in Mathematics and Statistics ›› 2015, Vol. 3 ›› Issue (4) : 449 -457.

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Communications in Mathematics and Statistics ›› 2015, Vol. 3 ›› Issue (4) : 449 -457. DOI: 10.1007/s40304-015-0067-9
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Derivations of Skew PBW-Extensions

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Abstract

The paper contains a classification of derivations of skew PBW-extensions of rings.

Keywords

Derivations / Skew polynomial extensions / PBW-extensions

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V. A. Artamonov. Derivations of Skew PBW-Extensions. Communications in Mathematics and Statistics, 2015, 3(4): 449-457 DOI:10.1007/s40304-015-0067-9

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References

[1]

Artamonov V. Quantum Polynomials, Advances in Algebra and Combinatorics. 2008 River Edge: World Scientific Publishers Co

[2]

Lezama O, Gallego C. Gröbner bases for ideals of sigma-PBW extensions. Comm. Algebra. 2011, 39 1 50-75

[3]

Lezama O, Reyes M. Some homological properties of skew PBW extensions. Comm. Algebra. 2014, 42 1200-1230

[4]

Lezama O, Acosta Juan Pablo, Chaparro Cristian, Ojeda Ingrid, Venegas Cesar. Ore and Goldie theorems for skew PBW extensions. Asian Eur. J. Math.. 2013, 06 1350061

[5]

Venegas, C.: Automorphisms for skew PBW extensions and skew quantum polynomial rings, arXiv:1311.4592 [math.RA]

Funding

Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá(HERMES CODE 26872)

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