Algebras, polynomials and programs
نویسندگان
چکیده
منابع مشابه
Unary polynomials in algebras, I
The unary algebraic functions of an algebra already determine the congruences. Therefore , investigations of algebras with some prescribed propert ies of congruences can be divided into two major steps. First, one characterizes the monoid of unary algebraic functions of the algebra. Secondly, one tries to build up the algebra, knowing its unary algebraic functions. Of course we may only aim at ...
متن کاملInteger-valued Polynomials on Algebras
Let D be a domain with quotient field K and A a D-algebra. A polynomial with coefficients in K that maps every element of A to an element of A is called integer-valued on A. For commutative A we also consider integer-valued polynomials in several variables. For an arbitrary domain D and I an arbitrary ideal of D we show I -adic continuity of integer-valued polynomials on A. For Noetherian one-d...
متن کاملAffine Hecke algebras and orthogonal polynomials
© Association des collaborateurs de Nicolas Bourbaki, 1994-1995, tous droits réservés. L’accès aux archives du séminaire Bourbaki (http://www.bourbaki. ens.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier ...
متن کاملOrthogonal Polynomials and Generalized Oscillator Algebras
For any orthogonal polynomials system on real line we construct an appropriate oscillator algebra such that the polynomials make up the eigenfunctions system of the oscillator hamiltonian. The general scheme is divided into two types: a symmetric scheme and a non-symmetric scheme. The general approach is illustrated by the examples of the classical orthogonal polynomials: Hermite, Jacobi and La...
متن کاملMultivariable Wilson Polynomials and Degenerate Hecke Algebras
We study a rational version of the double affine Hecke algebra associated to the nonreduced affine root system of type (C n , Cn). A certain representation in terms of differencereflection operators naturally leads to the definition of nonsymmetric versions of the multivariable Wilson polynomials. Using the degenerate Hecke algebra we derive several properties, such as orthogonality relations a...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1990
ISSN: 0304-3975
DOI: 10.1016/0304-3975(90)90150-g