Convexities of partial monounary algebras

被引:2
|
作者
Jakubikova-Studenovska, D. [1 ]
机构
[1] Safarik Univ, Inst Math, Fac Sci, SK-04154 Kosice, Slovakia
关键词
partial monounary algebra; convex relative subalgebra; convexity;
D O I
10.1007/s00012-009-2087-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we prove that the collection K of all convexities of partial monounary algebras is finite; namely, it has exactly 23 elements. Further, we show that for each element kappa is an element of K there exists a subset kappa(0) of kappa such that kappa is generated by kappa(0) and card kappa(0) <= 2.
引用
收藏
页码:125 / 143
页数:19
相关论文
共 50 条
  • [21] On a representation of monounary algebras
    Jakubikova-Studenovska, DJ
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2005, 55 (01) : 157 - 164
  • [22] Monounary simple algebras
    Bianchi, Mariagrazia
    Gillio, Anna
    Verardi, Libero
    Ischia Group Theory 2004, Proceedings, 2006, 402 : 119 - 132
  • [23] The number of monounary algebras
    Horvath, Gabor
    Katai-Urban, Kamilla
    Pach, Peter Pal
    Pluhar, Gabriella
    Szabo, Csaba
    Pongracz, Andras
    ALGEBRA UNIVERSALIS, 2011, 66 (1-2) : 81 - 83
  • [24] ON PSEUDOVARIETIES OF MONOUNARY ALGEBRAS
    Jakubikova-Studenovska, Danica
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (01)
  • [25] Homogeneous monounary algebras
    Jakubíková-Studenovská, D
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (02) : 309 - 317
  • [26] Homogeneous monounary algebras
    Danica Jakubíková-Studenovská
    Czechoslovak Mathematical Journal, 2002, 52 : 309 - 317
  • [27] On a representation of monounary algebras
    D. JakubÍkovÁ-StudenovskÁ
    Czechoslovak Mathematical Journal, 2005, 55 : 157 - 164
  • [28] IRREDUCIBLE QUASIORDERS OF MONOUNARY ALGEBRAS
    Jakubikova-Studenovska, Danica
    Poeschel, Reinhard
    Radeleczki, Sandor
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 93 (03) : 259 - 276
  • [29] On a quasiorder on the class of monounary algebras
    K. Čipková
    Soft Computing, 2006, 10 : 471 - 475
  • [30] Retract irreducibility of monounary algebras
    Danica Jakubíková-Studenovská
    Czechoslovak Mathematical Journal, 1999, 49 : 363 - 390