Example of a Ring with an Improper Involution
Initializing live version
![](/img/demonstrations-branding.png)
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows an example of an improper involution , that is,
does not imply
. Let
be a commutative ring different from
. If
is the ring of all 2×2 matrices over
, then the involution
Contributed by: Izidor Hafner (March 2018)
Open content licensed under CC BY-NC-SA
Snapshots
Details
A *-ring (or involutive ring, or ring with involution) is a ring with an involution :
,
,
.
The example based on matrix inversion is taken from [1, p. 11]. For definitions, see [1, p. 3, p. 10].
Reference
[1] S. K. Berberian, Baer *-Rings, New York: Springer-Verlag, 1972.
Permanent Citation