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Generalizations of Einstein Numbers by Adding New Dimensions to Domains Preserving Commutativity and Associativity

Generalizations of Einstein Numbers by Adding New Dimensions to Domains Preserving Commutativity and Associativity

In this paper, we deal with generalizations of real Einstein numbers to various spaces and dimensions. We search operations and their properties in generalized settings. Especially, we are interested in the generalized operation of hyperbolic addition to more-dimensional spaces, which is associative and commutative. We extend the theory to some …