The Generalized Translation Dual of a Semifield

被引：0
|
作者：
Lunardon, G. [1 ]
Marino, G. [2 ]
Polverino, O. [2 ]
Trombetti, R. [1 ]
机构：
[1] Univ Naples Federico II, Dip Matemat & Applicaz, I-80126 Naples, Italy
[2] Univ Campania Luigi Vanvitelli, Dip Matemat & Fis, I-81100 Caserta, Italy
来源：
ANNALS OF COMBINATORICS | 2017年 / 21卷 / 04期
关键词：
semifield; linear set; Segre variety; FINITE SEMIFIELDS; OVOIDS;
D O I：
10.1007/s00026-017-0362-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, elaborating on the link between semifields of dimension n over their left nucleus and -linear sets of rank en disjoint from the secant variety of the Segre variety of , we extend some operations on semifield whose definition relies on dualising the relevant linear set.
引用
收藏
页码：629 / 643
页数：15
相关论文
共 50 条
  • [41] Dual Learning for Machine Translation
    He, Di
    Xia, Yingce
    Qin, Tao
    Wang, Liwei
    Yu, Nenghai
    Liu, Tie-Yan
    Ma, Wei-Ying
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 29 (NIPS 2016), 2016, 29
  • [42] Semifield Planes of Order 81
    Dempwolff, Ulrich
    JOURNAL OF GEOMETRY, 2008, 89 (1-2) : 1 - 16
  • [43] Spaces of Test and Generalized Functions Related to Generalized Translation Operators
    Yu. M. Berezans'kyi
    V. A. Tesko
    Ukrainian Mathematical Journal, 2003, 55 (12) : 1907 - 1979
  • [44] Ovals in commutative semifield planes
    Maria R. Enea
    Gábor Korchmáros
    Archiv der Mathematik, 1997, 69 : 259 - 264
  • [45] Dual and generalized dual cones in Banach spaces
    Khan, Akhtar A.
    Kong, Dezhou
    Li, Jinlu
    OPTIMIZATION LETTERS, 2025, 19 (02) : 389 - 412
  • [46] Generalized dual Fibonacci quaternions with dual coefficient
    Aydin, Fugen Torunbalci
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2018, 24 (04) : 70 - 85
  • [47] The dual index and dual core generalized inverse
    Wang, Hongxing
    Gao, Ju
    OPEN MATHEMATICS, 2023, 21 (01):
  • [48] A stabilizer lemma for translation generalized quadrangles
    Thas, Koen
    EUROPEAN JOURNAL OF COMBINATORICS, 2007, 28 (01) : 1 - 16
  • [49] The construction of the solutions of the generalized translation equation
    Mach A.
    aequationes mathematicae, 2002, 64 (1-2) : 1 - 23
  • [50] Translation Ovoids of Generalized Quadrangles and Hexagnos
    I. Bloemen
    J. A. Thas
    H. Van Maldeghem
    Geometriae Dedicata, 1998, 72 : 19 - 62
12345