On Lattice Vector Spaces over a Distributive Lattice

被引：0

作者：

Panjarike, Pallavi ^{[1
]}

Prasad, Kuncham Syam ^{[1
]}

Al-Tahan, Madeline ^{[2
]}

Bhatta, Vadiraja ^{[1
]}

Panackal, Harikrishnan ^{[1
]}

机构：

[1] Manipal Acad Higher Educ, Manipal Inst Technol, Dept Math, Manipal, KA, India

[2] Abu Dhabi Univ, Dept Math & Stat, Abu Dhabi, U Arab Emirates

来源：

SEMIGROUPS, ALGEBRAS AND OPERATOR THEORY, ICSAOT 2022 | 2023年 / 436卷

关键词：

Lattice vector space; Lattice matrices; Distributive lattices;

D O I：

10.1007/978-981-99-6349-2_10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show a homomorphism between lattices that induces a lattice vector space over a distributive lattice. The notion of congruence relation on lattice vector space is introduced to study the quotient spaces. We obtain a correspondence between the set of matrices over distributive lattices and the set of linear transformations.

引用

页码：173 / 183

页数：11

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