Single identities forcing lattices to be Boolean

In: Mathematica Slovaca, vol. 68, no. 4

Ivan Chajda - Helmut Länger - Ranganathan Padmanabhan

Detaily:

Rok, strany: 2018, 713 - 716

Kľúčové slová:

complemented lattice, Boolean algebra, single axiom

DOI: https://doi.org/10.1515/ms-2017-0138

O článku:

In this note we characterize Boolean algebras among lattices of type $(2,2,1)$ with join, meet and an additional unary operation by means of single two-variable respectively three-variable identities. In particular, any uniquely complemented lattice satisfying any one of these equational constraints is distributive and hence a Boolean algebra.

Ako citovať:

ISO 690:

Chajda, I., Länger, H., Padmanabhan, R. 2018. Single identities forcing lattices to be Boolean. In Mathematica Slovaca, vol. 68, no.4, pp. 713-716. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0138

APA:

Chajda, I., Länger, H., Padmanabhan, R. (2018). Single identities forcing lattices to be Boolean. Mathematica Slovaca, 68(4), 713-716. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0138

O vydaní:

Publikované: 6. 8. 2018