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Abstract groups as physical structures. (Russian) Zbl 0801.20021

Summary: A definition of a certain class of physical structures defined on an arbitrary nonempty set is presented. It is shown that definition of this class is equivalent to definition of the class of all group structures on the same set.

MSC:

20G45 Applications of linear algebraic groups to the sciences
53C80 Applications of global differential geometry to the sciences
81P99 Foundations, quantum information and its processing, quantum axioms, and philosophy
20A05 Axiomatics and elementary properties of groups
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