Ring $R_{ 77 }$
$\mathbb Z[\sqrt{-5}]$
Description:
$\mathbb Z[\sqrt{-5}]$
Reference(s):
- H. C. Hutchins. Examples of commutative rings. (1981) @ Example 132 pp 120-121
Legend
- = has the property
- = does not have the
property
- = information
not in database
Name |
Measure |
cardinality
|
$\aleph_0$ | |
composition length
|
left: $\infty$ | right: $\infty$ |
global dimension
|
left: 1 | right: 1 |
Krull dimension (classical)
|
1 | |
weak global dimension
|
1 | |
Name |
Description |
Idempotents |
$\{0,1\}$ |
Jacobson radical |
$\{0\}$ |
Left singular ideal |
$\{0\}$ |
Left socle |
$\{0\}$ |
Nilpotents |
$\{0\}$ |
Right singular ideal |
$\{0\}$ |
Right socle |
$\{0\}$ |
Zero divisors |
$\{0\}$ |