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seen Nov 16 at 2:21

May
15
comment length of sum of two submodule
thanks BenjaLim, i will try work on it. But could we prove this without exact sequence concept, instead of directly from definition of composition series?
May
15
accepted length of sum of two submodule
May
15
comment length of sum of two submodule
How to show that l((K+N)/N)=l(K+N)-l(N)?
May
15
asked length of sum of two submodule
May
12
accepted Interpretation of dP in Radon-Nikodym Theorem
May
12
comment Length of composition series and injective homomorphisms
OK, i get it. The composition series of $N$ is the refinement of the series $f(M_0)\subset ... \subset f(M_n)$, so $l(N) \geq n$.
May
12
accepted Length of composition series and injective homomorphisms
May
12
comment Length of composition series and injective homomorphisms
@user1. I have explain it in my solution. Read carefully before judging!
May
12
comment Length of composition series and injective homomorphisms
With your argument could we conclude that $l(N)=l(M)$? Since every module have the same length of composition series
May
12
comment Length of composition series and injective homomorphisms
@user1: No, Since M isomorphic to Im f and Im f is submodule of N we have $l(M)=l(im f)\leq l(N)$
May
12
asked Length of composition series and injective homomorphisms
Apr
27
asked Interpretation of dP in Radon-Nikodym Theorem
Apr
15
comment Integral of bivariate normal distribution function with respect to itself
Could you prove this using elementary calculus like substitution rule and etc
Apr
15
asked Integral of bivariate normal distribution function with respect to itself
Apr
4
revised Independence of $n$ random variables
edited body
Apr
3
comment Independence of $n$ random variables
sory, typo bigcup and bigcap
Apr
3
revised Independence of $n$ random variables
edited body
Apr
3
asked Independence of $n$ random variables
Mar
27
accepted Finitely generaterd torsion-free module over PID
Mar
24
answered Finitely generaterd torsion-free module over PID