77 962
Assignments Done
Successfully Done
In August 2019

Answer to Question #17188 in Algebra for Hym@n B@ss

Question #17188
Show that μ is subadditive, in the sense that μ(M ⊕ N) ≤ μ(M) + μ(N) for finitely generated R-modules M,N.
Expert's answer
Let {x1, . . . , xn} begenerators for M, and {y1, . . . , ym} be generators for M.Then x1 , y1, . . . , xn , ym generate M = M1⊕M2, or maybe some of them can be excluded. Then μ(M ⊕ N) ≤ μ(M) + μ(N) as desired.

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!


No comments. Be first!

Leave a comment

Ask Your question

Privacy policy Terms and Conditions