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On Polynomial Functions Over Finite Commutative Rings
Polynomial function Finite commutative local ring Generalized Witt polynomial
2007/12/12
Let $R$ be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over $R$ to be a polynomial function. Before this paper, necessary a...
In this paper,the problem of computing zeros of a general degree bivariate Bernstein polynomial is considered.An efficient and robust algorithm is presented that takes into full account particular pro...
ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY
Polynomial ideal differential ideal well
2007/12/10
摘要 As a consequence of a previons study of algebraic differential geometry(see [WU1]) there may be associated to certain special kinds of differential ideals some well-behaved basis enjoying some well...
THE MINIMAL CHARACTERISTIC BASIS OF A POLYNOMIAL IDEAL
Characteristic set Basic set Minimal c
2007/12/10
摘要 The concept of minimal characteristic basis(abbr. char basis) of a polynomial ideal is presened to give the uniqueness of the char basis of an ideal. For the prime ideal, we give an algorithmto con...
In this paper, we discuss the regular exponential family(REF), a natural exponentialfamily with minimum dimension and with the mean function m=E_θX taken as a new parameter. We point out the importanc...