Also,the semiring-semimodule pairs of formal power series with coefficients in such a semiring-semimodule pairs is discussed. 讨论了系数在一些半环半模对中的形式幂级数半环半模对,证明了系数为双归纳半环半模对的形式幂级数半环半模对(双μ-半环半模对,双*-μ-半环半模对,双λ-半环半模对,...
B. Gil, Arithmetic in the ring of formal power series with integer coeffi- cients, Amer. Math. Monthly (2008) 115 (6), 541-549.D. Birmajer and J. B. Gil, Arithmetic in the ring of formal power series with integer coefficients, to appear in American Mathematical Monthly....
In other words, we describe all solutions of the translation equation in [[x]], the ring of formal power series in x with complex coefficients. For doing this the method of formal functional equations will be applied. The coefficient functions of solutions of the translation equation are ...
In this article we discuss arithmetic (units, primes, unique factorization) in the ring of formal power series over the integers. Power series are the natural extension of the ring of polynomials, so both rings share similar properties but also have some major differences. For instance, in cont...
Let A be a commutative ring, let A[[X]] be the ring of formal power series in a single variable X over some commutative ring A and let A + [[X]] be the set of formal power series of A[[X]] with zero constant term, equipped with its structure of a near-ring obtained with ...
(1983). The rank of a formal tree power series. Theoretical Computer Science.S. Bozapalidis and O.L. Bozapalidou, The rank of a formal tree power series. Theoret. Comput. Sci. 27 (1983) 211-215.S. Bozapalidis, O. Louscou-Bozapalidou, The rank of a formal tree power series, ...
We consider polynomials with integer coefficients and discuss their factorization properties in u2124[[x]], the ring of formal power series over u2124. We treat polynomials of arbitrary degree and give sufficient conditions for their reducibility as power series. Moreover, if a polynomial is reduci...
It is then natural to investigate the arithmetic properties of Z[[chi]], the ring of formal power series with integer coefficients. A factorization formula in Z[[[chi]]] of Quebec, Montreal) show how formal power series may be viewed as formal languages with coefficients, and how finite au...
摘要: The paper brie y describes an approach to solving multivariate systems of equations written in formal power series by using a standard basis technique. Authors apply the Buchberger's algorithm with a usual lexicographic ordering to rewrite the system of...
In an analogous way we study the ring of formal Dirichlet series denoted R[[ 12s,13 s,14s , . . .]] or R 1ns n⩾1 for short. 机译:环Z x1,x2,...或Z xn n&ges的研究;简称0;是由二项式系数的基本数理论性质引起的。二项式多项式以及二项式系数及其泛化可以在数学的不同分支中找到,...