# Quasi-modal algebras

Mathematica Bohemica (2001)

- Volume: 126, Issue: 4, page 721-736
- ISSN: 0862-7959

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topCelani, Sergio A.. "Quasi-modal algebras." Mathematica Bohemica 126.4 (2001): 721-736. <http://eudml.org/doc/248870>.

@article{Celani2001,

abstract = {In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.},

author = {Celani, Sergio A.},

journal = {Mathematica Bohemica},

keywords = {Boolean algebras; modal algebras; Boolean spaces with relations; Boolean algebras; modal algebras; Boolean spaces with relations},

language = {eng},

number = {4},

pages = {721-736},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Quasi-modal algebras},

url = {http://eudml.org/doc/248870},

volume = {126},

year = {2001},

}

TY - JOUR

AU - Celani, Sergio A.

TI - Quasi-modal algebras

JO - Mathematica Bohemica

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 126

IS - 4

SP - 721

EP - 736

AB - In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.

LA - eng

KW - Boolean algebras; modal algebras; Boolean spaces with relations; Boolean algebras; modal algebras; Boolean spaces with relations

UR - http://eudml.org/doc/248870

ER -

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