10063
Since a simple Artinian ring is a ( full ) matrix ring over a division ring , if " A " is a simple algebra , then " A " is a ( full ) matrix algebra over a division algebra " D " over " k " ; i.e. , .
 location: Artinian
Please list all entity words in the text that fit the category.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
Answer:
 location: Artinian