Linear minimal rings and algebras

被引：4
|
作者：
Baisalov, E. R. [1 ]
机构：
[1] Gumilyov Eurasian Natl Univ, Astana 010008, Kazakhstan
来源：
ALGEBRA AND LOGIC | 2012年 / 51卷 / 02期
关键词：
linear minimality; ring; algebra; definability of scalars;
D O I：
10.1007/s10469-012-9174-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concept of linear minimality for rings and algebras is introduced. It is proved that a linear minimal ring is a linear minimal central algebra over a field of definable scalars.
引用
收藏
页码：105 / 110
页数：6
相关论文
共 50 条
  • [41] MINIMAL ENVELOPES OF DOUGLAS ALGEBRAS AND BOURGAIN ALGEBRAS
    GUILLORY, C
    IZUCHI, K
    HOUSTON JOURNAL OF MATHEMATICS, 1993, 19 (02): : 201 - 222
  • [42] Division rings generated by group rings and enveloping algebras
    Lichtman, AI
    ALGEBRA, 2000, : 227 - 236
  • [43] On automorphisms of groups, rings, and algebras
    Wilson, James B.
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (04) : 1452 - 1478
  • [44] Rings of Fractions of Reduction Algebras
    S. Khoroshkin
    O. Ogievetsky
    Algebras and Representation Theory, 2014, 17 : 265 - 274
  • [45] INITIAL ALGEBRAS OF PFAFFIAN RINGS
    De Negri, Emanuela
    Roemer, Tim
    JOURNAL OF COMMUTATIVE ALGEBRA, 2013, 5 (02) : 151 - 170
  • [46] Nilary group rings and algebras
    Al-Mallah, Omar
    Birkenmeier, Gary
    Alnoghashi, Hafedh
    TURKISH JOURNAL OF MATHEMATICS, 2023, 47 (04) : 1051 - 1072
  • [47] WITT RINGS OF QUATERNION ALGEBRAS
    SLADEK, A
    JOURNAL OF ALGEBRA, 1986, 103 (01) : 267 - 272
  • [48] Derivations of rings and Banach algebras
    Raza, Mohd Arif
    Khan, Mohammad Shadab
    Rehman, Nadeem Ur
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 141 - 153
  • [49] Heisenberg algebras and coefficient rings
    Pop, HC
    COMMUNICATIONS IN ALGEBRA, 1997, 25 (09) : 2931 - 2937
  • [50] ON PARTIAL ORDERABILITY OF RINGS AND ALGEBRAS
    VEKSLER, AI
    DOKLADY AKADEMII NAUK SSSR, 1970, 190 (04): : 756 - &
12345