STEINER TRIPLE ALGEBRAS

被引：0
|
作者：
Gardner, B. J. [1 ]
机构：
[1] Univ Tasmania, Discipline Math, PB37, Hobart, Tas 7001, Australia
来源：
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2021年 / 90卷 / 01期
关键词：
Associative algebra; alternative algebra; Mal'tsev algebra; Steiner triple system; cross product; CROSS PRODUCTS; SYSTEMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Algebras over arbitrary fields whose basis is a Steiner triple system for which ab = +/- c for every triple {a, b, c} are considered. Constraints on the triple system imposed by the requirement that the algebra satisfies various identities are investigated.
引用
收藏
页码：27 / 42
页数：16
相关论文
共 50 条
  • [1] Killing metrized commutative nonassociative algebras associated with Steiner triple systems
    Fox, Daniel J. F.
    JOURNAL OF ALGEBRA, 2022, 608 : 186 - 213
  • [2] Enumerating Steiner triple systems
    Heinlein, Daniel
    Ostergard, Patric R. J.
    JOURNAL OF COMBINATORIAL DESIGNS, 2023, 31 (10) : 479 - 495
  • [3] On colourings of Steiner triple systems
    Forbes, AD
    Grannell, MJ
    Griggs, TS
    DISCRETE MATHEMATICS, 2003, 261 (1-3) : 255 - 276
  • [4] Quasi-embeddings of Steiner triple systems, or Steiner triple systems of different orders with maximum intersection
    Dukes, P
    Mendelsohn, E
    JOURNAL OF COMBINATORIAL DESIGNS, 2005, 13 (02) : 120 - 138
  • [5] Subcubic trades in Steiner triple systems
    Cavenagh, Nicholas J.
    Griggs, Terry S.
    DISCRETE MATHEMATICS, 2017, 340 (06) : 1351 - 1358
  • [6] Nonorientable biembeddings of Steiner triple systems
    Grannell, MJ
    Korzhik, VP
    DISCRETE MATHEMATICS, 2004, 285 (1-3) : 121 - 126
  • [7] On the Block Coloring of Steiner Triple Systems
    Manaviyat, R.
    JOURNAL OF MATHEMATICAL EXTENSION, 2014, 8 (03) : 71 - 77
  • [8] Representing Graphs in Steiner Triple Systems
    Dan Archdeacon
    Terry Griggs
    Costas Psomas
    Graphs and Combinatorics, 2014, 30 : 255 - 266
  • [9] Independent sets in Steiner triple systems
    Forbes, AD
    Grannell, MJ
    Griggs, TS
    ARS COMBINATORIA, 2004, 72 : 161 - 169
  • [10] Representing Graphs in Steiner Triple Systems
    Archdeacon, Dan
    Griggs, Terry
    Psomas, Costas
    GRAPHS AND COMBINATORICS, 2014, 30 (02) : 255 - 266
12345