Kites and Residuated Lattices
Rings and Algebras
2017-07-04 v1 Commutative Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1707.00267,
title = {Kites and Residuated Lattices},
author = {Michal Botur and Anatolij Dvurečenskij},
journal= {arXiv preprint arXiv:1707.00267},
year = {2017}
}