Answer to Question #17181 in Abstract Algebra for Melvin Henriksen

Question #17181
Let k be a field of characteristic zero, and (aij) be an m × m skew symmetric matrix over k. Let R be the k-algebra generated by x1, . . . , xm with the relations xixj − xjxi = aij for all i, j. Show that R is a simple ring iff det(aij) <> 0. In particular, R is always nonsimple if m is odd.
1
Expert's answer
2012-11-19T07:53:42-0500
The answer to the question is available in the PDF file https://www.assignmentexpert.com/https://www.assignmentexpert.com/homework-answers/mathematics-answer-17181.pdf

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS