In addition to the Complex field, also ring
x+ty, tt=-1
There are hyperbolic ring
x+ty, tt=1
or dual ring
x+ty, tt=0
t becomes abstractly a new strange number similar to i. In general representable by a matrix, in all these examples. A unit matrix multilies x.
It is natural to extend
x+ty+ttz, ttt=1 or -1
or more dimensions.
Have not found a generic name for this set of commutative rings,
because they are not inversible for all nonzero (x,y,..), though over most of the space.
- Badges
- Science topic
- Similar topics
- Mathematics
- Algebra
- Matrix
More Juan Weisz's questions See All
Similar questions and discussions