Projective Nullstellensatz for not necessarily algebraically closed fields
R Ludhani - arXiv preprint arXiv:2411.06325, 2024 - arxiv.org
The Nullstellensatz, proved by Hilbert in 1893, is a classical result that holds when the base
field is algebraically closed. When the base field is finite, a version of Hilbert's …
field is algebraically closed. When the base field is finite, a version of Hilbert's …
Commutative algebra and coding theory, with applications to quantum error-correction
R San José Rubio - 2024 - uvadoc.uva.es
Algebraic Coding Theory plays an important role not only in many different aspects of
communication but also in cryptography and quantum computing. In this thesis we are …
communication but also in cryptography and quantum computing. In this thesis we are …
The saturation number of monomial ideals
R Abdolmaleki, AA Yazdan Pour - Communications in Algebra, 2023 - Taylor & Francis
Abstract Let S= K [x 1,…, xn] be the polynomial ring over a field K and m=(x 1,…, xn) be the
homogeneous maximal ideal of S. For an ideal I⊂ S, let sat (I) be the minimum number k for …
homogeneous maximal ideal of S. For an ideal I⊂ S, let sat (I) be the minimum number k for …