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23rd January 2013, 01:45 PM
Super Moderator
 
Join Date: May 2012
Re: Alagappa University M.Phil Programme

I am here by providing you the PDF that contain the Exam Paper of the M.PHIL Program. Here I am providing you some questions:

1. (a) Let R be an Artinian ring. Show that (i) every
prime ideal of R is maximal (ii) there are
finitely many maximal ideals of R (iii) the nil
radical is nilpotent.
(Or)
(b) Define the term ‘‘length of a module’’. State
and prove the Jordan-Hölder theorem w.r.t.
composition series and length.

For detailed paper you can download the given bellow pdf file. This PDF contain the paper of COMMUTATIVE ALGEBRA course.

This Paper is of 3 hour & maximum marks are 75.

Please feel free to download the PDF
Attached Files
File Type: pdf Alagappa University M.Phil Programme.pdf (252.7 KB, 50 views)


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