Zobrazeno 1 - 10
of 347
pro vyhledávání: '"skew PBW extensions"'
Autor:
Rubiano, Andrés, Reyes, Armando
We investigate the differential smoothness of a certain family of skew Poincar\'e-Birkhoff-Witt extensions.
Comment: 22 pages. arXiv admin note: substantial text overlap with arXiv:2409.10264, arXiv:2409.18947, arXiv:2408.16648, arXiv:2410.12701
Comment: 22 pages. arXiv admin note: substantial text overlap with arXiv:2409.10264, arXiv:2409.18947, arXiv:2408.16648, arXiv:2410.12701
Externí odkaz:
http://arxiv.org/abs/2410.13967
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we investigate the differential smoothness of skew PBW extensions over commutative polynomial rings on one and two indeterminates.
Comment: 60 pages. arXiv admin note: text overlap with arXiv:2408.16648, arXiv:2409.10264; text ove
Comment: 60 pages. arXiv admin note: text overlap with arXiv:2408.16648, arXiv:2409.10264; text ove
Externí odkaz:
http://arxiv.org/abs/2409.18947
In this paper, we study the uniform dimension and the associated prime ideals of induced modules over skew PBW extensions.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2404.18698
Autor:
Lezama, Oswaldo, Gallego, Claudia
The classical commutative coding theory has been recently extended to noncommutative rings of polynomial type. There are many interesting works in coding theory over single Ore extensions. In this review article we present the most relevant algebraic
Externí odkaz:
http://arxiv.org/abs/2310.20063
Akademický článek
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We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, $\pi$-regular and clean elements for skew PBW extensions over weak compatible rings. We also study the notions of Gelfand and Harmonic rings fo
Externí odkaz:
http://arxiv.org/abs/2212.09601
Akademický článek
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Autor:
Suárez, Héctor, Reyes, Armando
In this paper, we introduce the concept of $\Sigma$-semicommutative ring, for $\Sigma$ a finite family of endomorphisms of a ring $R$. We relate this class of rings with other classes of rings such that Abelian, reduced, $\Sigma$-rigid, nil-reversibl
Externí odkaz:
http://arxiv.org/abs/2201.08339
Autor:
Suárez, Héctor1 (AUTHOR), Reyes, Armando2 (AUTHOR) mareyesv@unal.edu.co, Suárez, Yésica1 (AUTHOR)
Publikováno v:
Arabian Journal of Mathematics. Apr2023, Vol. 12 Issue 1, p247-263. 17p.
