A Computational Maple Library for Skew PBW Extensions
W Fajardo - Fundamenta Informaticae, 2019 - dl.acm.org
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Noncommutative coding theory and algebraic sets for skew PBW extensions
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 …
rings of polynomial type. There are many interesting works in coding theory over single Ore …
Algebraic sets, ideals of points and the Hilbert's Nullstellensatz theorem for skew PBW extensions
O Lezama - arXiv preprint arXiv:2106.12088, 2021 - arxiv.org
In this paper we define the algebraic sets and the ideal of points for bijective skew PBW
extensions with coefficients in left Noetherian domains. Some properties of affine algebraic …
extensions with coefficients in left Noetherian domains. Some properties of affine algebraic …
Non-commutative differential calculus of some algebras of polynomial type having PBW bases
CD Sarmiento Santiago - repositorio.unal.edu.co
In this work, we study the notion of differential calculus associated to an associative algebra,
from its origin in manifolds geometry, to some generalizations in non commutative …
from its origin in manifolds geometry, to some generalizations in non commutative …
A view toward the geometry of normalizing sequences in finitely semi-graded algebras
AA Rubiano Suarez - 2020 - repositorio.unal.edu.co
In this work, we see the behavior of normalizing sequence in semi-graded algebras. First,
we define regular sequence and the Koszul complex in commutative case. Using the variety …
we define regular sequence and the Koszul complex in commutative case. Using the variety …