SOLUTION: Determine the characteristic of the ring.
(P(∅), Δ,∩)
I think it has no characteristic based on the definition.
In the powerset of the empty set
additive identity (
Algebra ->
Matrices-and-determiminant
-> SOLUTION: Determine the characteristic of the ring.
(P(∅), Δ,∩)
I think it has no characteristic based on the definition.
In the powerset of the empty set
additive identity (
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(P(∅), Δ,∩)
I think it has no characteristic based on the definition.
In the powerset of the empty set
additive identity (0)= {}
multiplicative identity (1)= {}
so 0=1
Please help. Thank you.
These are the definition
char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0).
If this sum never reaches the additive identity the ring is said to have characteristic zero.
The ring of integers modulo n has characteristic n
If 0=1 it says to have no characteristic. Answer by ikleyn(53937) (Show Source):
