Some Notions of Size in Partial Semigroups

McLeod, J. (2000). Some Notions of Size in Partial Semigroups.

Type

Unclassified

Intellectual base

Unclassified

Year

2000

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Cited by

2 citations across 2 artifacts.

Domain-specific

• Piecewise syndetic set
  • Equivalently, finitely many translates of the set form a thick set, or the set is the intersection of a syndetic set and a thick set; the property is partition regular and forces long arithmetic progressions.
• Syndetic set
  • Left and right syndeticity can differ in noncommutative semigroups, the natural-number bounded-gap characterization depends on additive convention and positive density alone does not imply syndeticity.

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