Semi-Brouwerian Almost Distributive Lattices

被引：0

作者：

Srikanth, V. V. V. S. S. P. S. ^{[1
]}

Ramesh, S. ^{[1
]}

Ratnamani, M. V. ^{[2
]}

Shum, K. P. ^{[3
]}

机构：

[1] GITAM, GITAM Sch Sci, Dept Math, Visakhapatnam, India

[2] Aditya Inst Technol & Management, Dept Basic Sci & Humanities, Tekkali, India

[3] Yunnan Univ, Inst Math, Kunming 650091, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

Principal ideal; Almost distributive lattice; Heyting algebra; Semi-Brouwerian algebra; Heyting almost distributive lattice;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a semi-Brouwerian almost distributive lattice as a description of a semi-Brouwerian algebra in the category of almost distributive lattices and derive a number of algebraic properties on them. We obtain a few equivalent conditions for an almost distributive lattice to become a semi-Brouwerian almost distributive lattice. Finally we identify a class of pseudo -complemented lattices and a class of semi-Brouwerian algebras in a semi-Brouwerian almost distributive lattice.

引用

页码：569 / 578

页数：10

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