- #1
pivoxa15
- 2,255
- 1
Does cosets exist in rings?
i.e R = Ring, a in R
set {a*R}
or
set {a+R}
The above two sets looks very similar to cosets in groups but there are two operations in rings so potentially two different cosets both involving the same ring R and element a. If the above two sets are not cosets than what are they called?
i.e R = Ring, a in R
set {a*R}
or
set {a+R}
The above two sets looks very similar to cosets in groups but there are two operations in rings so potentially two different cosets both involving the same ring R and element a. If the above two sets are not cosets than what are they called?