Representation of a unital group having finite unit interval

• Autorzy: Foulis D. J.
• Języki publikacji: EN

Słowa kluczowe

EN

matrices; orthomodular structures; unigroups

PL

macierze

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 793--805
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Foulis D. J.

• Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA

Bibliografia

• [1] M. K. Bennett and D. J. Foulis, Interval and scale effect algebras, Adv. in Appl. Math. 19 (1997) 200-215.
• [2] D. J. Foulis, Representations on Unigroups, in Current Research in Operational Quantum Logic, Coecke, B., Moore, D., and Wilce, A., eds., Kluwer Academic Publishers, Boston, 2000, 115-138.
• [3] D. J. Foulis, MV and Heyting effect algebras, Found. Phys. 30, No. 10 (2000) 1687-1706.
• [4] D. J. Foulis, Removing the torsion from a unital group, Rep. Math. Phys. 52, No 2 (2003), 187-203.
• [5] D. J. Foulis and M. K. Bennett, Effect algebras and unsharp quantum logics, Found. Phys. 24, No. 10 (1994) 1331-1352.
• [6] D. J. Foulis and R. J. Greechie, Probability weights and measures on finite effect algebras, Internat. J. Theoret. Phys. 38, No. 12 (1999) 3189-3208.
• [7] D. J. Foulis, R. J. Greechie and M. K. Bennett, Sums and products of interval algebras, Intern. J. Theoret. Phys. 33, No. 11 (1994) 2119-2136.
• [8] D. J. Foulis, R. J. Greechie and M. K. Bennett, The transition to unigroups, Internat. J. Theoret. Phys. 37, No. 1 (1998) 45-64.
• [9] K. Goodearl, Partially Ordered Abelian Groups With Interpolation, American Mathematical Society Mathematical Surveys and Monographs No. 20, American Mathematical Society, Providence, RI, 1986.
• [10] P. Pták and S. Pulmannová, Orthomodular Structures as Quantum Logics, Kluwer, Dordrecht/Boston/London, 1991.
• [11] R. B. Richter and W. P. Wardlaw, Good matrices: Matrices that preserve ideals, Amer. Math. Monthly 104, No. 10 (1997) 932-938.
• [12] J. C. Rosales and P. A. Garcia-Sánchez, Finitely Generated Commutative Monoids, Nova Science Publishers, Inc., Commac, NY (1999).