16,044 research outputs found
An algorithm for determining copositive matrices
In this paper, we present an algorithm of simple exponential growth called
COPOMATRIX for determining the copositivity of a real symmetric matrix. The
core of this algorithm is a decomposition theorem, which is used to deal with
simplicial subdivision of on
the standard simplex , where each component of the vector is
-1, 0 or 1.Comment: 15 page
On certain recurrent and automatic sequences in finite fields
In this work we extend our study on a link between automaticity and certain
algebraic power series over finite fields. Our starting point is a family of
sequences in a finite field of characteristic , recently introduced by the
first author in connection with algebraic continued fractions. By including it
in a large family of recurrent sequences in an arbitrary finite field, we prove
its automaticity. Then we give a criterion on automatic sequences, generalizing
a previous result and this allows us to present new families of automatic
sequences in an arbitrary finite field.Comment: 10 page
Hyperquadratic continued fractions over a finite field of odd characteristic with partial quotients of degree 1
In 1986, some examples of algebraic, and nonquadratic, power series over a
finite prime field, having a continued fraction expansion with partial
quotients all of degree one, were discovered by W. Mills and D. Robbins. In
this note we show how these few examples are included in a very large family of
continued fractions for certain algebraic power series over an arbitrary finite
field of odd characteristic
Triple Derivations and Triple Homomorphisms of Perfect Lie Superalgebras
In this paper, we study triple derivations and triple homomorphisms of
perfect Lie superalgebras over a commutative ring . It is proved that, if
the base ring contains , is a perfect Lie superalgebra with
zero center, then every triple derivation of is a derivation, and every
triple derivation of the derivation algebra is an inner derivation.
Let be Lie superalgebras over a commutative ring , the notion of
triple homomorphism from to is introduced. We proved that, under
certain assumptions, homomorphisms, anti-homomorphisms, and sums of
homomorphisms and anti-homomorphisms are all triple homomorphisms.Comment: 12pages in Indagationes Mathematicae, 201
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