**Problem:** is a commutative Noetherian domain. is its field of quotients. If is finitely generated as an -module, then prove that is a field. (So = .

### About me

**Abhishek Parab**

I? An Indian. A mathematics student. A former engineer. A rubik's cube addict. A nature photographer. A Pink Floyd fan. An ardent lover of Chess & Counter-Strike.

### Labels

911 AC.algebraic-curves AC.commutative-algebra Adventure AG.algebraic-geometry AG.algebraic-groups Amerikas CA.complex-analysis Chess Cricket CT.category-theory Cycling Europe FA.functional-analysis Food Galois theory GM.general-mathematics GN.general-topology Half-marathon Hike Humour:) India Inspirational Interview LA.linear-algebra Leisure Life Linux Modi Movies NBHM NT.number-theory Pain.. PDE.partial-differential-equations Photography Pro-biking RA.real-analysis Railways RT.representation-theory Running Teaching TeXnical TIFR TolerableMaths Travel&Living WiredLord

### Previous Posts

### Recent Comments

Gautam on TIFR Mathematics interview | |

mathcosmo on The VIP | |

mathcosmo on The VIP | |

mathcosmo on IMSc Interview Questions | |

Kenneth Ofsak on Computing the ring of integers… |

### Quotable Quotes

ABHISHEK PARAB

“Do not think; let the equation think for you”

PAUL HALMOS

”You cannot be perfect, but if you won’t try, you won’t be good enough”

ALBERT EINSTEIN

“Don’t worry about your maths problems; I assure you, mine are greater”

THE BEST MATH JOKE

"A comathematician is a device for turning cotheorems into ffee"

## 2 comments

Comments feed for this article

September 11, 2009 at 17:26

AnonymousGetting your assignment problems solved this way is cheating.

September 14, 2009 at 17:51

abhishekparabArun, I don’t encourage anonymous commenting.. especially if its not on burning issues..

And yes, I’ll post the solution as soon as the midsem ends!