ON THE LENGTH OF RATIONAL CONTINUED FRACTIONS OVER Fq(X)
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 2
Abstract
Let Fq be a finite field and A(Y ) ∈ Fq(X, Y ). The aim of this paper is to prove that the length of the continued fraction expansion of A(P); P ∈ Fq[X], is bounded.
Authors and Affiliations
S. Driss
Keywords
Related Articles
- EP ID EP304471
- DOI -
- Views 18
- Downloads 0
CONRAD’S PARTIAL ORDER ON P.Q.-BAER ∗-RINGS
We prove that a p.q.-Baer ∗-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer ∗-rings which are lattices. The initial segments of a p.q.-Baer ∗-ring with the Conrad’s partial order a...
Congruences and Trajectories in Planar Semimodular Lattices
A 1955 result of J. Jakub´ık states that for the prime intervals p and q of a finite lattice, con(p) ≥ con(q) iff p is congruence-projective to q (via intervals of arbitrary size). The problem is how to determine whether...
SEMIGROUPS DERIVED FROM (Γ, N)-SEMIHYPERGROUPS AND T-FUNCTOR
The main purpose of this paper is to introduce the concept of (Γ, n)- semihypergroups as a generalization of hypergroups, as a generalization of nary hypergroups and obtain an exact covariant functor between the category...
ON THE GENUS OF THE CAYLEY GRAPH OF A COMMUTATIVE RING
Let R be a commutative ring with non-zero identity and let Z(R) be the set of all zero-divisors. The Cayley graph CAY(R) of R is the simple undirected graph whose vertices are elements of R and two distinct vertices x an...
Trace inequalities for positive semidefinite matrices
Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.