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.
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页数：26
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