Non-commutative algebraic geometry of semi-graded rings
O Lezama, E Latorre - International Journal of Algebra and …, 2017 - World Scientific
In this paper, we introduce the semi-graded rings, which extend graded rings and skew
Poincaré–Birkhoff–Witt (PBW) extensions. For this new type of non-commutative rings, we …
Poincaré–Birkhoff–Witt (PBW) extensions. For this new type of non-commutative rings, we …
Associated prime ideals over skew PBW extensions
A Niño, MC Ramírez, A Reyes - Communications in Algebra, 2020 - Taylor & Francis
In this article, we continue the study of ideals of the noncommutative rings of polynomial type
known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated …
known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated …
Koszulity for skew PBW extensions over fields
Koszul and homogeneous Koszul algebras were defined by Priddy in\cite {Priddy1970}.
There exist some relations between these algebras and the skew PBW extensions …
There exist some relations between these algebras and the skew PBW extensions …
Projective modules and Gr\" obner bases for skew PBW extensions
Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-
commutative algebraic geometry can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) …
commutative algebraic geometry can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) …
Extended modules and Ore extensions
V Artamonov, O Lezama, W Fajardo - Communications in Mathematics …, 2016 - Springer
In this paper, we study extended modules for a special class of Ore extensions. We will
assume that R is a ring and A will denote the Ore extension A:= R x_1, ..., x_n; σ A:= R x 1 …
assume that R is a ring and A will denote the Ore extension A:= R x_1, ..., x_n; σ A:= R x 1 …
[HTML][HTML] A Survey on Some Algebraic Characterizations of Hilbert's Nullstellensatz for Non-commutative Rings of Polynomial Type
A Reyes, J Hernández-Mogollón - Ingeniería y Ciencia, 2020 - scielo.org.co
In this paper we present a survey of some algebraic characterizations of Hilbert's
Nullstellensatz for non-commutative rings of polynomial type. Using several results …
Nullstellensatz for non-commutative rings of polynomial type. Using several results …
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 …
Maximality of noncommutative rings over orders
CA Rodríguez Rodríguez - 2019 - repositorio.unal.edu.co
Order theory has been widely studied since the last part of the 20th century. In the
noncommutative context, maximality of orders has been reviewed for classical objects of …
noncommutative context, maximality of orders has been reviewed for classical objects of …
Extended modules over skew PBW extensions
WA Fajardo Cardenas - 2019 - repositorio.unal.edu.co
En el libro “Serre's problem on projective modules”[42], Tsit Yuen Lam definió las clases E
de anillos extendidos; estas clases de anillos satisfacen la versión extendida del teorema …
de anillos extendidos; estas clases de anillos satisfacen la versión extendida del teorema …