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De Morgan algebra

De Morgan algebra noun: a bounded distributive lattice equipped with an involution (typically denoted ¬ or ~) which satisfies De Morgan's laws.

Noun

De Morgan algebra (plural De Morgan algebras)

  1. A bounded distributive lattice equipped with an involution (typically denoted ¬ or ~) which satisfies De Morgan's laws.
    • Finally it is shown that the compact elements in the congruence lattice of a De Morgan algebra form a Boolean sublattice.1980, H. P. Sankappanavar, “A Characterization of Principal Congruences of De Morgan Algebras and its Applications”, in A. I. Arruda, R. Chuaqui, N. C. A. Da Costa, editors, Mathematical Logic in...
    • By a topological de Morgan algebra we shall mean an abstract algebra (A,#92;land,#92;lor,#92;',l) where (A,#92;land,#92;lor,l) is a de Morgan algebra,2000, Luo Congwen, Topological De Morgan Algebras and Kleene-Stone Algebras: The Journal of Fuzzy Mathematics, Volume 8, Pages 1-524, page 268

Forms of De Morgan algebra

pluralDe Morgan algebras
alternative formde Morgan algebra

Origin of De Morgan algebra

Named after British mathematician and logician Augustus De Morgan (1806–1871). The notion was introduced by Grigore Moisil.

Questions about De Morgan algebra

What does De Morgan algebra mean?
De Morgan algebra means a bounded distributive lattice equipped with an involution (typically denoted ¬ or ~) which satisfies De Morgan's laws.
What part of speech is De Morgan algebra?
De Morgan algebra is a noun.
What is the plural of De Morgan algebra?
The plural of De Morgan algebra is De Morgan algebras.

Words near De Morgan algebra in the dictionary

  1. de Moivre number
  2. de Moivre numbers
  3. de Moivre's formula
  4. de Moivre's identity
  5. de Moivre's theorem
  6. De Morgan algebra
  7. De Morgan algebras
  8. De Morgan's law
  9. De Morgan's laws
  10. De Morgan's theorem
  11. De Munck

Source and license

Adapted from Wiktionary: De Morgan algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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