Kites and residuated lattices

被引：0
作者：
Michal Botur
Anatolij Dvurečenskij
机构：
[1] Palacký University Olomouc Faculty of Sciences,
[2] Mathematical Institute Slovak Academy of Sciences,undefined
来源：
Algebra universalis | 2018年 / 79卷
关键词：
Residuated lattice; Kite algebra; Subdirect irreducible kite; Classification of kites; 03G10; 03B50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate a construction of an integral residuated lattice starting from an integral residuated lattice and two sets with an injective mapping from one set into the second one. The resulting algebra has a shape of a Chinese cascade kite, therefore, we call this algebra simply a kite. We describe subdirectly irreducible kites and we classify them. We show that the variety of integral residuated lattices generated by kites is generated by all finite-dimensional kites. In particular, we describe some homomorphisms among kites.
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