Zero Element in a Ring: The 0 Ring Has Only One Element

In summary, the zero element in a ring is a neutral element that does not change the value of other elements when added. It is the only element in a 0 ring, and in other rings, it retains its properties of being the additive identity and not being able to be multiplied by any other element. This concept is essential in ring theory as it helps define the properties and structure of a ring.
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chwala
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Am just but refreshing (kindly see highlihted part)
1690386646773.png


...this element ##r## can only be ##0## correct? The zero ring has only one element which is ##0##.
 
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Yes.
 
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