Supriya Ghosh (Editor)

Stone algebra

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In mathematics, a Stone algebra, or Stone lattice, is a pseudo-complemented distributive lattices such that a* ∨a** = 1. They were introduced by Grätzer & Schmidt (1957) and named after Marshall Harvey Stone.

Boolean algebras are Stone algebras, and Stone algebras are Ockham algebras.

Examples:

  • The open-set lattice of an extremally disconnected space is a Stone algebra.
  • The lattice of positive divisors of a given positive integer is a Stone lattice.
  • References

    Stone algebra Wikipedia


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