Classification of categories with matrices of coefficient 2 and order n

被引:1
|
作者
Allouch, Samer [1 ,2 ]
Simpson, Carlos [3 ]
机构
[1] King Abdullah Univ Sci & Technol, CEMSE, Thuwal, Saudi Arabia
[2] Lebanese French Univ Technol & Appl Sci, Dept Engn, Tripoli, Lebanon
[3] Univ Cote Azur, Lab JA Dieudonne, CNRS, Nice, France
基金
欧盟地平线“2020”;
关键词
Category of the square matrix 2; finite categories; reduced category; EULER CHARACTERISTICS;
D O I
10.1080/00927872.2017.1404081
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we present the categories associated to the square matrix with coefficients 2 of order 3. The family of categories associated to these matrices has five isomorphism classes. In the case of a matrix of order higher than 3, we only demonstrate upper and lower bounds for the number of associated categories.
引用
收藏
页码:3079 / 3091
页数:13
相关论文
共 50 条
  • [31] The order-n minors of certain (n plus k) x n matrices
    Bag, Priyabrata
    Dey, Santanu
    Nagisa, Masaru
    Osaka, Hiroyuki
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 603 : 368 - 389
  • [32] CLASSIFICATION OF WEIGHING MATRICES OF ORDER-13 AND WEIGHT-9
    OHMORI, H
    DISCRETE MATHEMATICS, 1993, 116 (1-3) : 55 - 78
  • [33] CLASSIFICATION OF HADAMARD-MATRICES OF ORDER-28 WITH HALL SETS
    KIMURA, H
    DISCRETE MATHEMATICS, 1994, 128 (1-3) : 257 - 268
  • [34] STABILIZATION OF SOME LINEAR-DIFFERENTIAL EQUATIONS WITH PIECEWISE-CONSTANT 2ND-ORDER COEFFICIENT MATRICES
    BYLOV, BF
    TIKHONOVA, EA
    DIFFERENTIAL EQUATIONS, 1986, 22 (04) : 425 - 433
  • [35] Classification of grouplike categories
    Ghannoum, Najwa
    RESEARCH IN MATHEMATICS, 2023, 10 (01):
  • [36] ON NUMBER OF CATEGORIES FOR CLASSIFICATION
    HOYLE, WG
    INFORMATION STORAGE AND RETRIEVAL, 1969, 5 (01): : 1 - &
  • [37] CLASSIFICATION OF CONCRETE CATEGORIES
    ADAMEK, J
    HOUSTON JOURNAL OF MATHEMATICS, 1986, 12 (03): : 305 - 326
  • [38] ON WEIGHT CLASSIFICATION CATEGORIES
    TAYBACK, M
    AMERICAN JOURNAL OF PUBLIC HEALTH, 1987, 77 (07) : 877 - 878
  • [39] Coefficient-truncated higher-order commuting matrices of the discrete Fourier transform
    Pei, Soo-Chang
    Hsue, Wen-Liang
    Ding, Jian-Jiun
    2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, : 3545 - 3548
  • [40] A classification of accessible categories
    Adámek, J
    Borceux, F
    Lack, S
    Rosicky, J
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 175 (1-3) : 7 - 30