On equations over Brandt semigroups

被引：0
|
作者：
Shevlyakov, A. N. [1 ]
Vakhrameev, M. A. [1 ]
机构：
[1] Sobolev Inst Math, Pevtsova 13, Omsk 644099, Russia
来源：
MECHANICAL SCIENCE AND TECHNOLOGY UPDATE (MSTU-2018) | 2018年 / 1050卷
关键词：
D O I：
10.1088/1742-6596/1050/1/012079
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we study equations in one variable over Brandt semigroup B-n. We show that the average number of solutions of these equations is asymptotically equal to n(2). We prove that the proportion of unsolvable equations is asymptotically equal to 2/n(2).
引用
收藏
页数：5
相关论文
共 50 条
  • [41] Semigroups and evolutionary equations
    Trostorff, Sascha
    SEMIGROUP FORUM, 2021, 103 (02) : 661 - 699
  • [42] On equations in inverse semigroups
    Bella V. Rozenblat
    algebra universalis, 2002, 47 : 153 - 156
  • [43] Functional equations on semigroups
    Sinopoulos P.
    aequationes mathematicae, 2000, 59 (3) : 255 - 261
  • [44] Semigroups and evolutionary equations
    Sascha Trostorff
    Semigroup Forum, 2021, 103 : 661 - 699
  • [45] Turan's graph theorem and maximum independent sets in Brandt semigroups
    Mitchell, JD
    SEMIGROUPS AND LANGUAGES, 2004, : 151 - 162
  • [46] Cayley Digraphs of Brandt Semigroups Relative to Green's Equivalence Classes
    Meksawang, John
    Panma, Sayan
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (06) : 815 - 827
  • [47] On special Rees matrix semigroups over semigroups
    Nagy, Attila
    Toth, Csaba
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2023, 64 (03): : 279 - 288
  • [48] Amalgamating inverse semigroups over ample semigroups
    Sohail, Nasir
    PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2025, 74 (01) : 50 - 61
  • [49] Splittability over Semigroups
    A.J. Hanna
    T.B.M. McMaster
    Semigroup Forum, 2006, 73 : 45 - 54
  • [50] Acts Over Semigroups
    Kozhukhov I.B.
    Mikhalev A.V.
    Journal of Mathematical Sciences, 2023, 269 (3) : 362 - 401
12345