Notes on units and stable ranges of polynomial rings 多項式環(huán)的單位和穩(wěn)定度的注記
Sunse ' s theorem in the polynomial ring 一元多項式環(huán)中的孫子定理
On the matrices over a polynomial ring 關(guān)于多項式環(huán)上的矩陣
Monadic polynomial ring of domain 整環(huán)上的一元多項式環(huán)
Properties on - left semicentrial idempotent elements and skew polynomial rings 左半中心冪等元和斜多項式環(huán)的性質(zhì)
An estimation of the number of generators of an ideal in a polynomial ring with two variables 二元多項式環(huán)中理想生成元個數(shù)的估計
Graded and ungraded properties of polynomial rings and special upper triangular matrix rings 多項式環(huán)及特殊上三角矩陣環(huán)的分次與非分次性質(zhì)
An algorithm for grobner basis for an ideal of a polynomial ring over a group algebra of a finite group over a field is given ?給出了準(zhǔn)確計算域上有限群的群代數(shù)上的多項式環(huán)的理想的gr ( ? ) bner基的算法。
At the end of this chapter we study the relation of iterated skew polynomial rings and quantum group and got corollary 3 . 8 , 3 . 9 4 ,最后考慮了迭代的斜laurent多項式環(huán)和量子群的關(guān)系,得到推論3 8和3 9 。
The main results are listed in the following : it is proved that the ring consisting of all block circulant matrices over a field is isomorphic to a factor ring of a polynomial ring in multivariables over the same field 具體內(nèi)容如下: ?證明了域上的所有塊循環(huán)矩陣組成的環(huán)同構(gòu)于其上的多元多項式環(huán)的一個商環(huán)。
In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the Hilbert basis theorem, to the construction of splitting fields, and to the understanding of a linear operator.