On M-operators of q-lattices
Discussiones Mathematicae - General Algebra and Applications (2002)
- Volume: 22, Issue: 2, page 119-129
- ISSN: 1509-9415
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topRadomír Halaš. "On M-operators of q-lattices." Discussiones Mathematicae - General Algebra and Applications 22.2 (2002): 119-129. <http://eudml.org/doc/287667>.
@article{RadomírHalaš2002,
abstract = {It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.},
author = {Radomír Halaš},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {(complete) q-lattice; closure operator; M-operator; complete -lattice; -operator},
language = {eng},
number = {2},
pages = {119-129},
title = {On M-operators of q-lattices},
url = {http://eudml.org/doc/287667},
volume = {22},
year = {2002},
}
TY - JOUR
AU - Radomír Halaš
TI - On M-operators of q-lattices
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2002
VL - 22
IS - 2
SP - 119
EP - 129
AB - It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
LA - eng
KW - (complete) q-lattice; closure operator; M-operator; complete -lattice; -operator
UR - http://eudml.org/doc/287667
ER -
References
top- [1] I. Chajda, Lattices on quasiordered sets, Acta Univ. Palack. Olomuc., Fac. Rerum Natur., Math. 31 (1992), 6-12. Zbl0773.06002
- [2] I. Chajda and M. Kotrle, Subdirectly irreducible and congruence distributive q-lattices, Czechoslovak Math. J. 43 (1993), 635-642. Zbl0798.06018
- [3] I. Chajda, Congruence properties of algebras in nilpotent shifts of varieties, 'General Algebra and Discrete Mathematics', Heldermann Verlag, Lemgo 1995, 35-46.
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