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Results tagged with group-theory
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user 63929
Groups are an abstract algebraic concept based on a set and a group law (a binary function which closes the set).
2
votes
1
answer
4k
views
Generators and Multiplicative group $\mathbb{Z_7}$
In the multiplication table for $\mathbb{Z^*_7}$, each row has all the elements of the set
My questions are:
is each element a generator here? if not why?
is an element considered as generat …
- 247
-1
votes
1
answer
2k
views
find additive inverse of modular arithmetic [closed]
For a set to be called as a ring, it should have the following properties
closed
commutative
associative
Identity existence
Inverse existence
but how is Z7 a ring, as there aren't any inverse e …
- 247