Foulis semigroup

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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.


  • 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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