# Foulis semigroup

From Encyclopedia of Mathematics

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2010 Mathematics Subject Classification: *Primary:* 20M10 [MSN][ZBL]

*Baer $*$-semigroup*

A Baer semigroup with involution. Foulis showed that the set of closed projections forms an orthomodular lattice, and every such lattice arises in this way.

#### References

- T.S. Blyth, "Lattices and Ordered Algebraic Structures" Springer (2005) ISBN 1852339055 Zbl 1073.06001
- David J. Foulis, "Baer ∗-semigroups",
*Proc. Am. Math. Soc.***11**(1960) 648-654 Zbl 0239.20074 - Ivan Rival (ed.),"Algorithms and Order", Kluwer (1989) ISBN 940107691X Zbl 0709.68004

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Foulis semigroup.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Foulis_semigroup&oldid=51371