On clones of operations over finite boolean algebras

被引:3
|
作者
Masulovic, Dragan [1 ]
机构
[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, Novi Sad 21000, Serbia
关键词
clones; finite boolean algebras; dual operations; automorphisms; congruences;
D O I
10.1007/s00012-008-2118-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using the duality between clones of operations over finite boolean algebras and clones of dual operations over finite sets, in this paper we show that the lattice of clones of operations over a finite boolean algebra is complemented, and we characterize the automorphisms and congruences of the iterative algebra of operations over a finite boolean algebra.
引用
收藏
页码:447 / 461
页数:15
相关论文
共 50 条
  • [11] Effect Algebras as Presheaves on Finite Boolean Algebras
    Gejza Jenča
    Order, 2018, 35 : 525 - 540
  • [12] SEMILATTICES AND FINITE BOOLEAN-ALGEBRAS
    JAYARAM, C
    ALGEBRA UNIVERSALIS, 1983, 16 (03) : 390 - 394
  • [13] BOOLEAN POWERS OVER INCOMPLETE BOOLEAN-ALGEBRAS
    SACHWANOWICZ, W
    ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1990, 36 (05): : 431 - 440
  • [14] Operations on Boolean and Alternating Finite Automata
    Hospodar, Michal
    Jiraskova, Galina
    Krajnakova, Ivana
    INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE, 2025,
  • [15] Operations on Boolean and Alternating Finite Automata
    Hospodar, Michal
    Jiraskova, Galina
    Krajnakova, Ivana
    COMPUTER SCIENCE - THEORY AND APPLICATIONS, CSR 2018, 2018, 10846 : 181 - 193
  • [16] Operations on Boolean and Alternating Finite Automata
    Jiraskova, Galina
    ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2023, 386 : 3 - 10
  • [17] SHEAVES OF ALGEBRAS OVER BOOLEAN SPACES
    KNOEBEL, RA
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (06): : A690 - &
  • [18] Rough sets over the Boolean algebras
    Liu, GL
    ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, PT 1, PROCEEDINGS, 2005, 3641 : 124 - 131
  • [20] On possibility and probability measures in finite Boolean algebras
    Castineira, E
    Cubillo, S
    Trillas, E
    SOFT COMPUTING, 2002, 7 (02) : 89 - 96