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algebraic posets

algebraic posets is the plural of algebraic poset.

Meaning of algebraic poset

Noun

algebraic poset (plural algebraic posets)

  1. A partially ordered set (poset) in which every element is the supremum of the compact elements below it.
    • A poset (P,<) is said to be algebraic if and only if
      i) P is up-complete, i.e., for every non-empty up-directed subset D,thesupremum operatorname supd exists,
      ii) for every x∈P, the set
      K_X:=y∈P|ycompact,y<x
      is non-empty and up-directed, and
      x= operatorname supK_x.
      A poset P is an algebraic poset...1985 October, Rudolf-E. Hoffmann, The Injective Hull and the 𝒞ℒ-Compactification of a Continuous Poset, Canadian Journal of Mathematics, 37:5, Canadian Mathematical Society, page 833

Questions about algebraic posets

What is algebraic posets the plural of?
Algebraic posets is the plural of algebraic poset.

Words near algebraic posets in the dictionary

  1. algebraic number field
  2. algebraic number fields
  3. algebraic number theory
  4. algebraic numbers
  5. algebraic poset
  6. algebraic posets
  7. algebraic statistics
  8. algebraic structure
  9. algebraic structures
  10. algebraic subvarieties
  11. algebraic subvariety

Source and license

Adapted from Wiktionary: algebraic posets (page history and authors); algebraic poset (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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