Zobrazeno 1 - 10
of 301
pro vyhledávání: '"LUCAS, François"'
Autor:
Leloup, Gérard, Lucas, Francois
We define and we characterize regular and c-regular cyclically ordered abelian groups. We prove that every dense c-regular cyclically ordered abelian group is elementarily equivalent to some cyclically ordered group of unimodular complex numbers, tha
Externí odkaz:
http://arxiv.org/abs/1312.5269
By a result known as Rieger's theorem (1956), there is a one-to-one correspondence, assigning to each cyclically ordered group $H$ a pair $(G,z)$ where $G$ is a totally ordered group and $z$ is an element in the center of $G$, generating a cofinal su
Externí odkaz:
http://arxiv.org/abs/1311.0499
This paper represents a step in our program towards the proof of the Pierce--Birkhoff conjecture. In the nineteen eighties J. Madden proved that the Pierce-Birkhoff conjecture for a ring A$is equivalent to a statement about an arbitrary pair of point
Externí odkaz:
http://arxiv.org/abs/1207.6463
This paper is a step in our program for proving the Piece-Birkhoff Conjecture for regular rings of any dimension (this would contain, in particular, the classical Pierce-Birkhoff conjecture which deals with polynomial rings over a real closed field).
Externí odkaz:
http://arxiv.org/abs/1003.1188
Let R be a real closed field and A=R[x_1,...,x_n]. Let sper A denote the real spectrum of A. There are two kinds of points in sper A : finite points (those for which all of |x_1|,...,|x_n| are bounded above by some constant in R) and points at infini
Externí odkaz:
http://arxiv.org/abs/0707.2327
Publikováno v:
Manuscripta Mathematica 128 (2009) 505-547
Let R be a real closed field. The Pierce-Birkhoff conjecture says that any piecewise polynomial function f on R^n can be obtained from the polynomial ring R[x_1,...,x_n] by iterating the operations of maximum and minimum. The purpose of this paper is
Externí odkaz:
http://arxiv.org/abs/math/0601671
Autor:
Lucas, FRANÇOIS-XAVIER, Zhang, Zixian
Publikováno v:
法政理論. 55(2):92-105
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::34b33bb0292f8ddbdee3ae5a5828b548
https://niigata-u.repo.nii.ac.jp/records/2000739
https://niigata-u.repo.nii.ac.jp/records/2000739
