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

chwala
Gold Member
Messages
2,827
Reaction score
415
TL;DR Summary
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##.
 
Physics news on Phys.org
Yes.
 

Similar threads

I What Is a Torsion Element in Ring Theory?
Replies
13
Views
3K
I Understanding zero divisors & ##\mathbb{Z_m}## in Ring Theory
2
Replies
55
Views
6K
I Definition of minimal ideal using symbolic logic notation
Replies
3
Views
624
I Localizing single variable quotient polynomial ring at a prime ideal
Replies
6
Views
758
I Trouble with a passage in Zariski & Samuel's Commutative algebra text
Replies
5
Views
693
A Near-Rings with Noncommutative Addition and Two-Sided Distributivity
Replies
4
Views
2K
I Meaning of "identify" & variations in different math context
Replies
5
Views
563
I Meaning of "passage to the quotient"?
Replies
3
Views
499
MHB Notion of a ring with identity 1=0
Replies
4
Views
2K
MHB How to prove an ideal of a ring R which is defined as a coordinates
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top