Ockham algebras with double pseudocomplementation

被引：1
|
作者：
Fang, Jie [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
ALGEBRA UNIVERSALIS | 2006年 / 55卷 / 2-3期
关键词：
Ockham algebra; double p-algebra; subdirectly irreducible;
D O I：
10.1007/s00012-006-1968-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The variety dpO consists of those algebras (L; boolean AND, boolean OR, f, *, +, 0, 1) with boolean AND, boolean OR binary, f,* + unary and 0, 1 nullary, and where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra and the unary operations f and * commute, f and + commute. We describe completely the structure of the subdirectly irreducible algebras that belong to the subclass dpK(1,1), characterised by the property f(3) = f.
引用
收藏
页码：277 / 292
页数：16
相关论文
共 50 条
  • [1] Ockham algebras with double pseudocomplementation
    Jie Fang
    algebra universalis, 2006, 55 : 277 - 292
  • [2] Ockham algebras with balanced double pseudocomplementation
    Fang J.
    Studia Logica, 2008, 90 (2) : 189 - 209
  • [3] Ockham algebras with pseudocomplementation
    Blyth, TS
    Fang, J
    Varlet, JC
    COMMUNICATIONS IN ALGEBRA, 1997, 25 (11) : 3605 - 3615
  • [4] On Endomorphisms of Ockham Algebras with Pseudocomplementation
    Blyth, T. S.
    Fang, J.
    STUDIA LOGICA, 2011, 98 (1-2) : 237 - 250
  • [5] Ockham Algebras With Balanced Double Demi-Pseudocomplementation
    Fang, Jie
    Wang, Leibo
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (01) : 57 - 65
  • [6] Congruences on Ockham algebras with pseudocomplementation
    Blyth, TS
    Fang, J
    COMMUNICATIONS IN ALGEBRA, 1999, 27 (11) : 5423 - 5434
  • [7] On Endomorphisms of Ockham Algebras with Pseudocomplementation
    T. S. Blyth
    J. Fang
    Studia Logica, 2011, 98 : 237 - 250
  • [8] Ockham algebras with demi-pseudocomplementation
    Blyth, TS
    Fang, J
    COMMUNICATIONS IN ALGEBRA, 1999, 27 (11) : 5413 - 5422
  • [9] Ockham Algebras with Balanced Demi-pseudocomplementation
    Fang, Jie
    ALGEBRA COLLOQUIUM, 2010, 17 (04) : 595 - 610
  • [10] de Morgan algebras with double pseudocomplementation
    Fang, Jie
    Wang, Lei-Bo
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (01)
12345