On ideals and congruences of distributive demi-p-algebras

被引：2

作者：

Blyth, T. S. ^{[1
]}

Fang, Jie ^{[2
]}

Wang, Leibo ^{[3
]}

机构：

[1] Univ St Andrews, Math Inst, St Andrews KY16 9SS, Scotland

[2] Guangdong Polytech Normal Univ, Sch Comp Sci, Guangzhou 510665, Guangdong, Peoples R China

[3] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

来源：

STUDIA LOGICA | 2015年 / 103卷 / 03期

关键词：

Pseudocomplemented algebra; Demi-p-algebra; Congruence; (star)-ideal; Falsity ideal; LATTICES;

D O I：

10.1007/s11225-014-9576-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We identify the -ideals of a distributive demi-pseudocomplemented algebra L as the kernels of the boolean congruences on L, and show that they form a complete Heyting algebra which is isomorphic to the interval of the congruence lattice of L where G is the Glivenko congruence. We also show that the notions of maximal -ideal, prime -ideal, and falsity ideal coincide.

引用

页码：491 / 506

页数：16

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