Abstract
Ideals and filters in D-posets are defined. Therole of idempotent elements and atoms in the theory ofideals and filters is studied.
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REFERENCES
Chang, C. C. (1958). Algebraic analysis of many valued logics, Transactions of the American Mathematical Society, 88, 467–490.
Chovanec, F., and Kôpka, F. (1995). D-lattices, International Journal of Theoretical Physics, 34, 1297–1302.
Chovanec, F., and Kôpka, F. (1997). Boolean D-posets, Tatra Mountains Mathematical Publications, 10, 183–197.
Foulis, D. J., and Bennett, M. K. (1994). Effect algebras and unsharp quantum logics, Foundations of Physics, 24, 1331–1352.
Foulis, D. J., Greechie, R. J., and Rüttimann, G. T. (1992). Filters and supports in orthoalgebras, International Journal of Theoretical Physics, 31, 789–807.
Kôpka, F. (1995). On compatibility in D-posets, International Journal of Theoretical Physics, 34, 1525–1531.
Kôpka, F. and Chovanec, F. (1994). D-posets, Mathematica Slovaca, 44, 21–34.
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Chovanec, F., Rybarikova, E. Ideals and Filters in D-Posets. International Journal of Theoretical Physics 37, 17–22 (1998). https://doi.org/10.1023/A:1026648803063
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DOI: https://doi.org/10.1023/A:1026648803063