Zobrazeno 1 - 7
of 7
pro vyhledávání: '"13P10, 14Q20"'
In this article, we investigate the cardinality of Grobner basis under various orderings. We identify a family of polynomials F and a criteria for the monomial orderings such that the reduced Grobner basis is double exponential in cardinality. We als
Externí odkaz:
http://arxiv.org/abs/2411.17602
Autor:
Matschke, Benjamin
We study the proof scheme "proof by example" in which a general statement can be proved by verifying it for a single example. This strategy can indeed work if the statement in question is an algebraic identity and the example is "generic". This artic
Externí odkaz:
http://arxiv.org/abs/1909.00480
Autor:
Bertone, Cristina
The present paper investigates properties of quasi-stable ideals and of Borel-fixed ideals in a polynomial ring $k[x_0,\dots,x_n]$, in order to design two algorithms: the first one takes as input $n$ and an admissible Hilbert polynomial $P(z)$, and o
Externí odkaz:
http://arxiv.org/abs/1409.5569
Publikováno v:
Journal of Algebra and its Applications, Volume 16, Issue 5, 1 May 2017, Article number 1750100
We define marked sets and bases over a quasi-stable ideal $\mathfrak j$ in a polynomial ring on a Noetherian $K$-algebra, with $K$ a field of any characteristic. The involved polynomials may be non-homogeneous, but their degree is bounded from above
Externí odkaz:
http://arxiv.org/abs/1211.7264
Autor:
Leykin, Anton
Let n and d be positive integers, let k be a field and let P(n,d;k) be the space of the polynomials in n variables of degree at most d with coefficients in k. Let B(n,d) be the set of the Bernstein-Sato polynomials of all polynomials in P(n,d;k) as k
Externí odkaz:
http://arxiv.org/abs/math/0003155
Autor:
Cristina Bertone
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 26:507-525
The present paper investigates properties of quasi-stable ideals and of Borel-fixed ideals in a polynomial ring $k[x_0,\dots,x_n]$, in order to design two algorithms: the first one takes as input $n$ and an admissible Hilbert polynomial $P(z)$, and o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6ddf428c1af9627321660f4d3c81066
https://doi.org/10.1007/s00200-015-0263-6
https://doi.org/10.1007/s00200-015-0263-6
Publikováno v:
Journal of Algebra and Its Applications. 16:1750100
We define marked sets and bases over a quasi-stable ideal $\mathfrak j$ in a polynomial ring on a Noetherian $K$-algebra, with $K$ a field of any characteristic. The involved polynomials may be non-homogeneous, but their degree is bounded from above
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b206aa5ac33763ba7ce0fca015ddb94
https://doi.org/10.1142/s0219498817501006
https://doi.org/10.1142/s0219498817501006