On M-operators of q-lattices

• Autorzy: Radomír Halaš
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

(complete) q-lattice; closure operator; M-operator

Kategorie tematyczne

• 05A05: Permutations, words, matrices
• 06B99: None of the above, but in this section
• 06A15: Galois correspondences, closure operators

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2002
• Tom: 22
• Numer: 2
• Strony: 119-129

Daty

wydano

2002

otrzymano

2002-02-28

poprawiono

2002-09-20

Twórcy

autor

Radomír Halaš

• Palacký University of Olomouc, Department of Algebra and Geometry, Tomkova 40, CZ-77900 Olomouc

Bibliografia

• [1] I. Chajda, Lattices on quasiordered sets, Acta Univ. Palack. Olomuc., Fac. Rerum Natur., Math. 31 (1992), 6-12.
• [2] I. Chajda and M. Kotrle, Subdirectly irreducible and congruence distributive q-lattices, Czechoslovak Math. J. 43 (1993), 635-642.
• [3] I. Chajda, Congruence properties of algebras in nilpotent shifts of varieties, 'General Algebra and Discrete Mathematics', Heldermann Verlag, Lemgo 1995, 35-46.

Identyfikatory

DOI

10.7151/dmgaa.1051