Matrix computations on projective modules using noncommutative Gr\" obner bases
C Gallego - arXiv preprint arXiv:1510.05271, 2015 - arxiv.org
Constructive proofs of fact that a stably free left $ S $-module $ M $ with rank $(M)\geq $ sr
$(S) $ is free, where sr $(S) $ denotes the stable rank of an arbitrary ring $ S $, were …
$(S) $ is free, where sr $(S) $ denotes the stable rank of an arbitrary ring $ S $, were …
Computing finite presentations of Tor and Ext over skew PBW extensions and some applications
O Lezama, M Paiba - arXiv preprint arXiv:1510.03446, 2015 - arxiv.org
In this paper we compute the $ Tor $ and $ Ext $ modules over skew $ PBW $ extensions. If
$ A $ is a bijective skew $ PBW $ extension of a ring $ R $, we give presentations of …
$ A $ is a bijective skew $ PBW $ extension of a ring $ R $, we give presentations of …
Involutive and SAGBI bases for skew PBW extensions
YP Suárez Gómez - repositorio.unal.edu.co
In this thesis, we study homological properties and SAGBI and Involutive bases of the
noncommutative rings known as skew PBW extensions. First, we present some ring …
noncommutative rings known as skew PBW extensions. First, we present some ring …
Algebro-geometric characterizations of commuting differential operators in semi-graded rings
DA Niño Torres - repositorio.unal.edu.co
In this thesis, we study algebro-geometric characterizations of commuting differential
operators in families of semi-graded rings. First, we present some ring-theoretical notions of …
operators in families of semi-graded rings. First, we present some ring-theoretical notions of …
Right Buchberger algorithm over bijective skew PBW extensions
W Fajardo - Fundamenta Informaticae, 2021 - content.iospress.com
In this paper we present a right version of the Buchberger algorithm over skew Poincaré-
Birkhoff-Witt extensions (skew PBW extensions for short) defined by Gallego and Lezama …
Birkhoff-Witt extensions (skew PBW extensions for short) defined by Gallego and Lezama …
Associated prime ideals of noncommutative rings of polynomials type
MC Ramírez Cubillos - repositorio.unal.edu.co
In this work we study the associated prime ideals of some noncommutative rings of
polynomial type. In the literature we find that these ideals were characterized in a first work …
polynomial type. In the literature we find that these ideals were characterized in a first work …
Filtered-graded transfer of noncommutative Gr\" obner bases
C Gallego - arXiv preprint arXiv:1510.07191, 2015 - arxiv.org
arXiv:1510.07191v1 [math.RA] 25 Oct 2015 Page 1 arXiv:1510.07191v1 [math.RA] 25 Oct
2015 Filtered-graded transfer of noncommutative Gröbner bases Claudia Gallego …
2015 Filtered-graded transfer of noncommutative Gröbner bases Claudia Gallego …