Previous |  Up |  Next


Title: Directoids with sectionally switching involutions (English)
Author: Chajda, Ivan
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 45
Issue: 1
Year: 2006
Pages: 35-41
Summary lang: English
Category: math
Summary: It is shown that every directoid equipped with sectionally switching mappings can be represented as a certain implication algebra. Moreover, if the directoid is also commutative, the corresponding implication algebra is defined by four simple identities. (English)
Keyword: Directoid
Keyword: commutative directoid
Keyword: semilattice
Keyword: involution
Keyword: implication algebra
Keyword: sectionally switching mapping
MSC: 03G25
MSC: 06A11
MSC: 06A12
idZBL: Zbl 1123.06001
idMR: MR2321295
Date available: 2009-08-21T07:04:53Z
Last updated: 2012-05-04
Stable URL:
Reference: [1] Abbott J. C.: Semi-boolean algebras.Matem. Vestnik 4 (1967), 177–198. MR 0239957
Reference: [2] Chajda I.: Lattices and semilattices having an antitone involution in every upper interval.Comment. Math. Univ. Carol. 44 (2003), 577–585. Zbl 1101.06003, MR 2062874
Reference: [3] Chajda I., Halaš R., Kühr J.: Distributive lattices with sectionally antitone involutions.Acta Sci. Math. (Szeged), 71 (2005), 19–33. Zbl 1099.06006, MR 2160352
Reference: [4] Ježek J., Quackenbush R.: Directoids: algebraic models of up-directed sets., Algebra Universalis 27 (1990), 49–69. MR 1025835


Files Size Format View
ActaOlom_45-2006-1_3.pdf 278.4Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo