Free hypermodules: a categorical approach |
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Authors: | S Sh Mousavi |
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Institution: | 1. Pure Mathematics Department, Shahid Bahonar University of Kerman, Kerman, Iransmousavi@uk.ac.ir |
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Abstract: | AbstractIn category theory, the existence of free objects is very important, especially free modules that play an important role in homological algebra. Although algebraic hyperstructures are a natural extension of algebraic structures, due to the major difference between them, study-free objects in algebraic hyperstructures become very difficult. In this article, we provide a categorical approach for the construction of free hypermodules. In fact, by considering appropriate morphisms between hypermodules, we characterize free hypermodules from three different perspectives. |
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Keywords: | Adjoint pair of arrows (2-)category hypermodule (weak) free object |
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