Foulis semigroup

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) Template:ISBN 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) Template:ISBN Zbl 0709.68004