On separable and H-separable polynomials in skew polynomial rings of several variables

被引：0

作者：

Ikehata, Shuichi ^{[1
]}

机构：

[1] Okayama Univ, Fac Environm Sci & Technol, Dept Environm & Math Sci, Okayama 7008530, Japan

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2010年 / 10卷 / 02期

关键词：

H-separable polynomial; separable extension; skew polynomial ring;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B be a ring with 1, and {rho(1), ..., rho(e)} a set of automorphisms of B. Let B[x(1), ..., X-e; rho(1), ..., rho(e); {u(ij)} be the skew polynomial ring of automorphism type. In this paper, we shall give equivalent conditions that the residue ring of B[X-1, ..., X-e; rho(1,) ..., rho(e);{u(ij)}] by the ideal generated by a set {X-1(m1) - u(1), ..., X-e(me) - u(e)}to be separable or H-separable over B.

引用

页码：87 / 95

页数：9

共 34 条

[21] SPECTRUM OF POLYNOMIAL-RINGS WITH SEVERAL-VARIABLES OVER AN INCREASING SEQUENCE OF RINGS
HAOUAT, Y
ARCHIV DER MATHEMATIK, 1988, 50 (03) : 236 - 240
[22] PERMUTATION POLYNOMIALS IN SEVERAL-VARIABLES OVER RESIDUE CLASS RINGS
KAISER, HK
NOBAUER, W
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1987, 43 : 171 - 175
[23] A reformulation technique to solve polynomial optimization problems with separable objective functions of bounded integer variables
Pitchaya Wiratchotisatian
Andrew C. Trapp
Optimization Letters, 2023, 17 : 851 - 866
[24] A reformulation technique to solve polynomial optimization problems with separable objective functions of bounded integer variables
Wiratchotisatian, Pitchaya
Trapp, Andrew C. C.
OPTIMIZATION LETTERS, 2023, 17 (04) : 851 - 866
[25] Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables
Martinez-Penas, Umberto
FINITE FIELDS AND THEIR APPLICATIONS, 2020, 65
[26] Cycles of Polynomial Mappings in Several Variables over Discrete Valuation Rings and over Z
Pezda, T.
MICHIGAN MATHEMATICAL JOURNAL, 2015, 64 (01) : 109 - 142
[27] Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals
Pezda, T
ACTA ARITHMETICA, 2003, 108 (02) : 127 - 146
[28] Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals, II
Pezda, T
MONATSHEFTE FUR MATHEMATIK, 2005, 145 (04): : 321 - 331
[29] Cycles of Polynomial Mappings in Several Variables over Rings of Integers in Finite Extensions of the Rationals, II
T. Pezda
Monatshefte für Mathematik, 2005, 145 : 321 - 331
[30] Fast Kötter–Nielsen–Høholdt interpolation over skew polynomial rings and its application in coding theory
Hannes Bartz
Thomas Jerkovits
Johan Rosenkilde
Designs, Codes and Cryptography, 2024, 92 : 435 - 465

← 1 2 3 4 →