Congruence classes in Brouwerian semilattices

• Autorzy: Ivan Chajda , Helmut Länger
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

congruence class; Brouwerian semilattice; ideal

Kategorie tematyczne

• 06A12: Semilattices
• 08A30: Subalgebras, congruence relations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2001
• Tom: 21
• Numer: 2
• Strony: 229-237

Daty

wydano

2001

otrzymano

2001-08-14

poprawiono

2001-12-12

Twórcy

autor

Ivan Chajda

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

autor

Helmut Länger

• Technische Universität Wien, Institut für Algebra und Computermathematik, Wiedner Hauptstraß e 8-10, A-1040 Wien

Bibliografia

• [1] J. Duda, Arithmeticity at 0, Czechoslovak Math. J. 37 (1987), 197-206.
• [2] K. Fichtner, Eine Bemerkung über Mannigfaltigkeiten universeller Algebren mit Idealen, Monatsb. Deutsch. Akad. Wiss. Berlin 12 (1970), 21-25.
• [3] P. Köhler, Brouwerian semilattices: the lattice of total subalgebras, Banach Center Publ. 9 (1982), 47-56.
• [4] W.C. Nemitz, Implicative semi-lattices, Trans. Amer. Math. Soc. 117 (1965), 128-142.

Identyfikatory

DOI

10.7151/dmgaa.1040