Krull's principal ideal theorem and Moscow State Forest University: Difference between pages

Revision as of 20:07, 21 March 2004

Revision as of 20:20, 14 June 2007

Line 1:

'''Moscow State Forest University''' (MSFU) is a specialized establishment of higher education which trains engineering personnel, scientists as well as bachelors and masters for forest industry, wood processing and pulp-and-paper industry and is the major educational and scientific centre of forest complex of the country.

In [[commutative algebra]], '''Krull's Principal Ideal Theorem''' gives a bound on the [[height (ring theory)|height]] of a [[principal ideal]] in a [[Noetherian ring]]. The theorem is sometimes referred to by its German name, ''Krulls Hauptidealsatz''.

There are 9 faculties in [[university]] specialized in forest engineering and 1 faculty specialized in electronics and computer science [[FEST|Faculty of Computer Science (aka FEST)]]. [[FEST]] was founded in 1959 on initiative by academician [[Sergey Pavlovich Korolev]].

Formally, if ''R'' is a Noetherian ring and ''I'' is a principal ideal of ''R'', then ''I'' has height one.

==External links==

This theorem can be generalized to [[ideal (ring theory)|ideal]]s which are not principal, and the result is often called '''Krull's Height Theorem'''. It says, if ''R'' is a Noetherian ring and ''I'' is an ideal generated by ''n'' elements of ''R'', then ''I'' has height at most ''n''.

* [http://www.mgul.ac.ru/eng/ MSFU site]

[[Category:Forestry]]

{{msg:stub}}

[[Category:Universities and colleges in Moscow]]