Zobrazeno 1 - 10
of 272
pro vyhledávání: '"Reyes, Armando"'
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 study the differential smoothness of diffusion algebras.
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2409.18947, arXiv:2408.16648, arXiv:2409.10264
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2409.18947, arXiv:2408.16648, arXiv:2409.10264
Externí odkaz:
http://arxiv.org/abs/2410.12701
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
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we prove that double extension regular algebras of type (14641) are not differentially smooth.
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2408.16648
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2408.16648
Externí odkaz:
http://arxiv.org/abs/2409.10264
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we investigate the differential smoothness of bi-quadratic algebras on three generators with PBW basis.
Comment: 21 pages, 8 tables. arXiv admin note: text overlap with arXiv:1410.6587 by other authors
Comment: 21 pages, 8 tables. arXiv admin note: text overlap with arXiv:1410.6587 by other authors
Externí odkaz:
http://arxiv.org/abs/2408.16648
Autor:
Higuera, Sebastián, Reyes, Armando
In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials.
Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2406.19935
Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2406.19935
Externí odkaz:
http://arxiv.org/abs/2408.07073
Autor:
Higuera, Sebastián, Reyes, Armando
In this paper, we investigate the attached prime ideals of inverse polynomial modules over skew Ore polynomials.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2406.19935
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
Motivated by Smith's work \cite{Smith2003, Smith2016} on maps between non-commu\-tative projective spaces of the form ${\rm Proj}_{nc} A$ in the setting of non-commutative projective geometry developed by Rosenberg and Van den Bergh, and the notion o
Externí odkaz:
http://arxiv.org/abs/2401.15631
Autor:
Ramírez, María Camila, Reyes, Armando
Motivated by the theory of homomorphisms and cv-polynomials of Ore extensions formulated by several mathematicians, the rol of double Ore extensions introduced by Zhang and Zhang in the classification of Artin-Schelter regular algebras of dimension f
Externí odkaz:
http://arxiv.org/abs/2401.14162