A categorical equivalence between semi-Heyting algebras and centered semi-Nelson algebras

被引:5
|
作者
Manuel Cornejo, Juan [1 ,2 ]
Javier San Martin, Hernan [3 ,4 ]
机构
[1] Univ Nacl Sur, Dept Matemat, Av Leandro N Alem 1253 2 Piso, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[2] Consejo Nacl Invest Cient & Tecn, Av Leandro N Alem 1253 2 Piso, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[3] UNLP, Fac Ciencias Exactas, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Argentina
[4] Consejo Nacl Invest Cient & Tecn, Casilla Correos 172, RA-1900 La Plata, Argentina
关键词
Semi-Heyting algebras; semi-Nelson algebras; duality; congruences; LOGIC;
D O I
10.1093/jigpal/jzy006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Motivated by a construction due to R. Cignoli that relates Heyting algebras and centered Nelson algebras, in this paper we prove that there exists an equivalence between the category of semi-Heyting algebras and the category of centered semi-Nelson algebras.
引用
收藏
页码:408 / 428
页数:21
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