The relationship between CROCs (complete orthomodular lattices) and complete Baer*-semigroups is discussed using an explicit construction of the adjoint of a hemimorphism. Simple examples provide much insight into the structures involved.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Foulis, D. J. (1960).Proceedings of the American Mathematical Society,11, 648.
Piron, C. (1976).Foundations of Quantum Physics, Benjamin, Reading, Massachusetts.
Pool, J. C. T. (1968).Communications in Mathematical Physics,9, 118.
Von Neumann, J. (1950).Functional Operators, Vol. II.The Geometry of Orthogonal Spaces, Princeton University Press, Princeton, New Jersey.
About this article
Cite this article
Piron, C. Morphisms, hemimorphisms, and baer*-semigroups. Int J Theor Phys 34, 1681–1687 (1995). https://doi.org/10.1007/BF00676281
- Field Theory
- Elementary Particle
- Quantum Field Theory
- Explicit Construction
- Orthomodular Lattice