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bn:00960783n
Noun Concept
Categories: Ordered algebraic structures, Order theory, Wikipedia articles incorporating text from PlanetMath, Ordered groups, Articles with short description
EN
partially ordered group  ordered group  integrally closed  Integrally closed ordered group  Integrally closed partially ordered group
EN
In abstract algebra, a partially ordered group is a group equipped with a partial order "≤" that is translation-invariant; in other words, "≤" has the property that, for all a, b, and g in G, if a ≤ b then a + g ≤ b + g and g + a ≤ g + b. Wikipedia
Definitions
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EN
In abstract algebra, a partially ordered group is a group equipped with a partial order "≤" that is translation-invariant; in other words, "≤" has the property that, for all a, b, and g in G, if a ≤ b then a + g ≤ b + g and g + a ≤ g + b. Wikipedia
group with a compatible partial order Wikidata
IS A
group
partially ordered set
HAS KIND
linearly ordered group
DIFFERENT FROM
linearly ordered group
STUDIED BY
category theory
Wikipedia
EN
partially ordered group
Wikidata
EN
ordered group
Wikipedia Redirections
EN
integrally closed (partially ordered group), Integrally closed ordered group, Integrally closed partially ordered group, lattice-ordered group, Lattice ordered group, Orderable group, ordered group, Partially-ordered group, partially ordered monoid, Positive cone of a partially ordered group, Positive element (ordered group)
Wikidata Alias
EN
partially ordered group

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