Involutive Residuated Lattices Based on Modular and Distributive Lattices

被引：0
|
作者：
Jeffrey S. Olson
机构：
[1] Norwich University,Department of Mathematics
来源：
Order | 2014年 / 31卷
关键词：
Involutive residuated lattice; Involution; Modular lattice; 06F05; 08B99; 06C99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An involutive residuated lattice (IRL) is a lattice-ordered monoid possessing residual operations and a dualizing element. We show that a large class of self-dual lattices may be endowed with an IRL structure, and give examples of lattices which fail to admit IRLs with natural algebraic conditions. A classification of all IRLs based on the modular lattices Mn is provided.
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页码：373 / 389
页数：16
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