# Ring detail

## Name: $M_n(k)$

Description: The ring of $n \times n$ matrices with entries from a field $k$, $n$ a natural number greater than $1$, and $k$ a countably infinite field.

Keywords matrix ring

Reference(s):

• (Citation needed)

• Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
cardinality $\aleph_0$
composition length left: $n$right: $n$
global dimension left: 0right: 0
Krull dimension (classical) 0
weak global dimension 0
Name Description
Jacobson radical $\{0\}$