Characterizations of near-Heyting algebras

被引：0

作者：

Luciano J. González

Marina B. Lattanzi

Ismael Calomino

Sergio A. Celani

机构：

[1] Universidad Nacional de La Pampa,Facultad de Ciencias Exactas y Naturales

[2] Universidad Nacional del Centro de la Provincia de Buenos Aires,CIC and Departamento de Matemática, Facultad de Ciencias Exactas

来源：

European Journal of Mathematics | 2023年 / 9卷

关键词：

Near-Heyting algebra; Hilbert algebra; Heyting algebra; Distributive nearlattice; 06D75; 06D20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A near-Heyting algebra is a join-semilattice with a greatest element such that every principal upset is a Heyting algebra. We will present several characterizations of the concept of near-Heyting algebra. We will show that the class of near-Heyting algebras is a subclass of Hilbert algebras with supremum. We introduce prelinear near-Heyting algebras and present some of their characterizations.

引用

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