Kites and residuated lattices

被引：0

作者：

Botur, Michal ^{[1
]}

Dvurecenskij, Anatolij ^{[1
,2
]}

机构：

[1] Palacky Univ, Fac Sci, Tr 17 Listopadu 12, Olomouc 77146, Czech Republic

[2] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

来源：

ALGEBRA UNIVERSALIS | 2018年 / 79卷 / 04期

关键词：

Residuated lattice; Kite algebra; Subdirect irreducible kite; Classification of kites; ALGEBRAS;

D O I：

10.1007/s00012-018-0564-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页数：26

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