Polynomial rings over nil rings need not be nil

被引：97
|
作者：
Smoktunowicz, A [1 ]
机构：
[1] Polish Acad Sci, Inst Math, PL-00950 Warsaw, Poland
来源：
JOURNAL OF ALGEBRA | 2000年 / 233卷 / 02期
关键词：
D O I：
10.1006/jabr.2000.8451
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a nil algebra over a countable field, the polynomial ring over which is not nil. This answers a question of Amitsur. (C) 2000 Academic Press.
引用
收藏
页码：427 / 436
页数：10
相关论文
共 50 条
  • [1] A note on polynomial rings over nil rings
    Chebotar, M. A.
    Ke, W. -F.
    Lee, P. -H.
    Puczylowski, E. R.
    MODULES AND COMODULES, 2008, : 169 - +
  • [2] On polynomial rings over nil rings in several variables and the central closure of prime nil rings
    M. Chebotar
    W.-F. Ke
    P.-H. Lee
    E. R. Puczyłowski
    Israel Journal of Mathematics, 2018, 223 : 309 - 322
  • [3] On polynomial rings over nil rings in several variables and the central closure of prime nil rings
    Chebotar, M.
    Ke, W. -F.
    Lee, P. -H.
    Puczyowski, E. R.
    ISRAEL JOURNAL OF MATHEMATICS, 2018, 223 (01) : 309 - 322
  • [4] On Primitive Ideals in Polynomial Rings over Nil Rings
    Agata Smoktunowicz
    Algebras and Representation Theory, 2005, 8 : 69 - 73
  • [5] On primitive ideals in polynomial rings over nil rings
    Smoktunowicz, A
    ALGEBRAS AND REPRESENTATION THEORY, 2005, 8 (01) : 69 - 73
  • [6] ON THE CONNECTION BETWEEN DIFFERENTIAL POLYNOMIAL RINGS AND POLYNOMIAL RINGS OVER NIL RINGS
    Catalano, Louisa
    Chang-Lee, Megan
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (03) : 438 - 441
  • [7] On differential polynomial rings over nil algebras
    Chebotar, Mikhail
    Ke, Wen-Fong
    REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (05) : 1279 - 1288
  • [8] Polynomial rings over nil rings cannot be homomorphically mapped onto rings with nonzero idempotents
    Beidar, KI
    Fong, Y
    Puczylowski, ER
    JOURNAL OF ALGEBRA, 2001, 238 (01) : 389 - 399
  • [9] ON JACOBSON AND NIL RADICALS RELATED TO POLYNOMIAL RINGS
    Kwak, Tai Keun
    Lee, Yang
    Ozcan, A. Cigdem
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (02) : 415 - 431
  • [10] RINGS WITH A NIL IDEAL YIELDING POLYNOMIAL CONSTRAINTS
    OUTCALT, DL
    YAQUB, A
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (04): : A459 - A459
12345