Transitivity and Full Transitivity for Nontorsion Modules
نویسندگان
چکیده
منابع مشابه
Expected utility without full transitivity
We generalize the classical expected-utility criterion by weakening transitivity to the conjunction of transitive indifference and Suzumura consistency. In the absence of full transitivity, completeness no longer follows as a consequence of the system of axioms employed and a richer class of rankings of probability distributions results. This class is characterized by means of standard expected...
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We discuss the relation between (topological) transitivity and strong transitivity of dynamical systems. We show that a transitive and open self-map of a compact metric space satisfying a certain expanding condition is strongly transitive. We also prove a couple of results for interval maps; for example it is shown that a transitive piecewise monotone interval map is strongly transitive.
متن کاملTitle Expected utility without full transitivity
We generalize the classical expected-utility criterion by weakening transitivity to Suzumura consistency. In the absence of full transitivity, reflexivity and completeness no longer follow as a consequence of the system of axioms employed and a richer class of rankings of probability distributions results. This class is characterized by means of standard expected-utility axioms in addition to S...
متن کاملTopological transitivity
The concept of topological transitivity goes back to G. D. Birkhoff [1]
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It is argued that if we take grounding to be univocal, then there is a serious tension between truthgrounding and one commonly assumed structural principle for grounding, namely transitivity. The primary claim of the paper is that truth-grounding cannot be transitive. Accordingly, it is either the case that grounding is not transitive or that truth-grounding is not grounding, or both.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7062