Subtraction Menger algebras

被引:3
|
作者
Dudek, Wieslaw A. [1 ]
Trokhimenko, Valentin S. [2 ]
机构
[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland
[2] Pedag Univ, Dept Math, UA-21100 Vinnitsa, Ukraine
关键词
Menger algebra; Algebra of multiplace functions; Subtraction algebra;
D O I
10.1007/s00233-012-9396-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give an abstract characterization of algebras of partial functions from A (n) to A endowed with the operations of the Menger superposition and the set-theoretic difference of functions as subsets of A (n+1).
引用
收藏
页码:111 / 128
页数:18
相关论文
共 50 条
  • [1] Subtraction Menger algebras
    Wieslaw A. Dudek
    Valentin S. Trokhimenko
    [J]. Semigroup Forum, 2012, 85 : 111 - 128
  • [2] On some subtraction Menger algebras of multiplace functions
    Dudek, Wieslaw A.
    Trokhimenko, Valentin S.
    [J]. SEMIGROUP FORUM, 2016, 93 (02) : 375 - 386
  • [3] On some subtraction Menger algebras of multiplace functions
    Wieslaw A. Dudek
    Valentin S. Trokhimenko
    [J]. Semigroup Forum, 2016, 93 : 375 - 386
  • [4] CONGRUENCES ON MENGER ALGEBRAS
    Dudek, Wieslaw A.
    Trokhimenko, Valentin S.
    [J]. COMMUNICATIONS IN ALGEBRA, 2014, 42 (08) : 3407 - 3426
  • [5] v-Regular Ternary Menger Algebras and Left Translations of Ternary Menger Algebras
    Nongmanee, Anak
    Leeratanavalee, Sorasak
    [J]. MATHEMATICS, 2021, 9 (21)
  • [6] Partial Menger algebras of terms
    Denecke, K.
    Hounnon, H.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (06)
  • [7] Menger algebras and clones of Cooperations
    Denecke, Klaus
    Saengsura, Kittisak
    [J]. ALGEBRA COLLOQUIUM, 2008, 15 (02) : 223 - 234
  • [8] Identities for primal Menger algebras
    Knoebel, Arthur
    [J]. ALGEBRA UNIVERSALIS, 2014, 71 (01) : 1 - 3
  • [9] Identities for primal Menger algebras
    Arthur Knoebel
    [J]. Algebra universalis, 2014, 71 : 1 - 3
  • [10] STATIONARY SUBSETS OF ORDERED MENGER ALGEBRAS
    TROKHIMENKO, VS
    [J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1983, (08): : 82 - 84