Definition: In mathematics, unimodular is a concept that refers to an element in modular arithmetic (also known as group theory) which has no non-zero inverse. This means that every element can be written as a linear combination of other elements in the set, but it does not have any multiplicative inverses.
For instance, consider the group of integers modulo 5, denoted by Z_5. In this group, there is an element x such that:
- x
x =
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