Abstract It is shown that an arbitrary interval of a pseudo-effect algebra is a pseudo-effect algebra and some results concerning Riesz decomposition properties, compatibilities and states are proved.
Keywords:
Mathematics Pure mathematics Algebra over a field
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Topics
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Rough Sets and Fuzzy Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Fuzzy and Soft Set Theory
Social Sciences → Decision Sciences → Management Science and Operations Research