The Classification of Two-dimensional Nonassociative Algebras

被引:0
|
作者
Petersson H.P. [1 ]
机构
[1] Fachbereich Mathematik, FernUniversität — Gesamthochschule in Hagen, Hagen
关键词
Classification Theorem; Composition Algebra; Critical Relation; Unital Algebra; Zero Divisor;
D O I
10.1007/BF03322518
中图分类号
学科分类号
摘要
We give a complete classification of two-dimensional nonassociative algebras over arbitrary base fields, including those of characteristic two. © 2000, Birkhäuser Verlag, Basel.
引用
收藏
页码:120 / 154
页数:34
相关论文
共 50 条
  • [21] Integrable Couplings and Two-Dimensional Unital Algebras
    Ma, Wen-Xiu
    AXIOMS, 2024, 13 (07)
  • [22] TWO-DIMENSIONAL ALGEBRAS OF DYNAMIC SYMMETRIES OF ODES
    Timoshin, M. I.
    UFA MATHEMATICAL JOURNAL, 2012, 4 (04): : 135 - 142
  • [23] Varieties of two-dimensional cylindric algebras II
    Nick Bezhanishvili
    algebra universalis, 2004, 51 : 177 - 206
  • [24] Conformal algebras of two-dimensional disordered systems
    Gurarie, V
    Ludwig, AWW
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (27): : L377 - L384
  • [25] Chiral algebras of two-dimensional SYK models
    Changhyun Ahn
    Cheng Peng
    Journal of High Energy Physics, 2019
  • [26] Chiral algebras of two-dimensional SYK models
    Ahn, Changhyun
    Peng, Cheng
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (07)
  • [27] Two-dimensional topological order and operator algebras
    Kawahigashi, Yasuyuki
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (08):
  • [28] Varieties of two-dimensional cylindric algebras II
    Bezhanishvili, N
    ALGEBRA UNIVERSALIS, 2004, 51 (2-3) : 177 - 206
  • [29] Integrable Poisson algebras and two-dimensional manifolds
    Albeverio, S
    Fei, SM
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (04): : 1211 - 1218
  • [30] Dynamical symmetry algebras of two superintegrable two-dimensional systems
    Marquette, I
    Quesne, C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (41)