Polynomial extensions of SCN rings need not be SCN

被引：0
|
作者：
Nasr-Isfahani, A. R. [1 ,2 ]
机构：
[1] Univ Isfahan, Dept Math, POB 81746-73441, Esfahan, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 01期
关键词：
Polynomial ring; SCN ring; 16S36; 16N40; 16U80;
D O I：
10.1080/00927872.2014.937540
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we show that there exists an SCN ring R such that the polynomial ring R[x] is not SCN. This answers a question posed by T. K. Kwak et al. in [2].
引用
收藏
页码：443 / 445
页数：3
相关论文
共 50 条
  • [41] Case-control association study of polymorphisms in the voltage-gated sodium channel genes SCN1A, SCN2A, SCN3A, SCN1B, and SCN2B and epilepsy
    Baum, Larry
    Haerian, Batoul Sadat
    Ng, Ho-Keung
    Wong, Virginia C. N.
    Ng, Ping Wing
    Lui, Colin H. T.
    Sin, Ngai Chuen
    Zhang, Chunbo
    Tomlinson, Brian
    Wong, Gary Wing-Kin
    Tan, Hui Jan
    Raymond, Azman Ali
    Mohamed, Zahurin
    Kwan, Patrick
    HUMAN GENETICS, 2014, 133 (05) : 651 - 659
  • [42] AUTOMORPHISMS FOR SKEW PBW EXTENSIONS AND SKEW QUANTUM POLYNOMIAL RINGS
    Venegas Ramirez, Cesar Fernando
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (05) : 1877 - 1897
  • [43] SKEW LAURENT POLYNOMIAL EXTENSIONS OF BAER AND PP-RINGS
    Nasr-Isfahani, Alireza R.
    Moussavi, Ahmad
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (06) : 1041 - 1050
  • [44] UNIMODULAR ROWS OVER MONOID EXTENSIONS OF OVERRINGS OF POLYNOMIAL RINGS
    Mathew, Maria A.
    Keshari, Manoj K.
    JOURNAL OF COMMUTATIVE ALGEBRA, 2022, 14 (04) : 583 - 589
  • [45] POLYNOMIAL RINGS OVER WEAK ARMENDARIZ RINGS NEED NOT BE WEAK ARMENDARIZ
    Chen, Weixing
    COMMUNICATIONS IN ALGEBRA, 2014, 42 (06) : 2528 - 2532
  • [46] SCN1B Gene: A Close Relative to SCN1A
    Pasquetti, Elisa
    Lo Bianco, Manuela
    Sullo, Federica
    Patane, Francesca
    Sciuto, Laura
    Polizzi, Agata
    Pratico, Andrea D.
    Zanghi, Antonio
    Falsaperla, Raffaele
    JOURNAL OF PEDIATRIC NEUROLOGY, 2023, 21 (03) : 168 - 172
  • [47] PROJECTIVE-MODULES OVER POLYNOMIAL EXTENSIONS OF DIVISION RINGS
    STAFFORD, JT
    INVENTIONES MATHEMATICAE, 1980, 59 (02) : 105 - 117
  • [48] CRYSTAL-STRUCTURES OF TRITHIOCYANATOMERCURATE RBHG(SCN)3 AND CSHG(SCN)3
    THIELE, G
    MESSER, D
    ZEITSCHRIFT FUR ANORGANISCHE UND ALLGEMEINE CHEMIE, 1976, 421 (01): : 24 - 36
  • [49] FRACTAL PATTERNS OF MULTI-UNIT ACTIVITY OF THE SUPRACHIASMATIC NUCLEUS (SCN): SCN-INTRINSIC AND SCN-EXTRINSIC NETWORK PROPERTIES
    Hu, K.
    Meijer, J.
    Shea, S. A.
    Houben, T.
    VanderLeest, H.
    Scheer, F. A.
    SLEEP, 2010, 33 : A29 - A29
  • [50] Surface studies on bimetallic thiocyanate ligand based single crystals of MnHg(SCN)4, CdHg(SCN)4 and ZnCd(SCN)4
    Kumar, T. Rajesh
    Jeyasekaran, R.
    Kumar, S. M. Ravi
    Vimalan, M.
    Sagayaraj, P.
    APPLIED SURFACE SCIENCE, 2010, 257 (05) : 1684 - 1691
12345