Congruence classes in Brouwerian semilattices

Ivan Chajda, and Helmut Länger. "Congruence classes in Brouwerian semilattices." Discussiones Mathematicae - General Algebra and Applications 21.2 (2001): 229-237. <http://eudml.org/doc/287760>.

@article{IvanChajda2001,
abstract = {Brouwerian semilattices are meet-semilattices with 1 in which every element a has a relative pseudocomplement with respect to every element b, i. e. a greatest element c with a∧c ≤ b. Properties of classes of reflexive and compatible binary relations, especially of congruences of such algebras are described and an abstract characterization of congruence classes via ideals is obtained.},
author = {Ivan Chajda, Helmut Länger},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {congruence class; Brouwerian semilattice; ideal; Brouwerian semilattices; reflexive and compatible binary relations; congruence classes},
language = {eng},
number = {2},
pages = {229-237},
title = {Congruence classes in Brouwerian semilattices},
url = {http://eudml.org/doc/287760},
volume = {21},
year = {2001},
}

TY - JOUR
AU - Ivan Chajda
AU - Helmut Länger
TI - Congruence classes in Brouwerian semilattices
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2001
VL - 21
IS - 2
SP - 229
EP - 237
AB - Brouwerian semilattices are meet-semilattices with 1 in which every element a has a relative pseudocomplement with respect to every element b, i. e. a greatest element c with a∧c ≤ b. Properties of classes of reflexive and compatible binary relations, especially of congruences of such algebras are described and an abstract characterization of congruence classes via ideals is obtained.
LA - eng
KW - congruence class; Brouwerian semilattice; ideal; Brouwerian semilattices; reflexive and compatible binary relations; congruence classes
UR - http://eudml.org/doc/287760
ER -