### Some articles on *finitely generated modules, generated, finitely generated module, modules*:

Structure Theorem For

... In mathematics, in the field of abstract algebra, the structure theorem for

**Finitely Generated Modules**Over A Principal Ideal Domain... In mathematics, in the field of abstract algebra, the structure theorem for

**finitely generated modules**over a principal ideal domain is a generalization of the fundamental ...Source Rock

... In petroleum geology, source rock refers to rocks from which hydrocarbons have been

... In petroleum geology, source rock refers to rocks from which hydrocarbons have been

**generated**or are capable of being**generated**... but immature source rock from which little or no oil has been**generated**and expelled ...Finitely-generated Module -

... For

**Finitely Generated Modules**Over A Commutative Ring... For

**finitely generated modules**over a commutative ring R, Nakayama's lemma is fundamental ... Sometimes, the lemma allows one to prove finite dimensional vector spaces phenomena for**finitely generated modules**... For example, if is a surjective R-endomorphism of a**finitely generated module**M, then f is also injective, and hence is an automorphism of M ...**Finitely Generated Modules**Over A Dedekind Domain

... view of the well known and exceedingly useful structure theorem for

**finitely generated modules**over a principal ideal domain (PID), it is natural to ask for a corresponding theory for

**finitely generated modules**... briefly recall the structure theory in the case of a

**finitely generated module**over a PID ... be decomposed into a direct sum of cyclic torsion

**modules**, each of the form for some nonzero ideal of ...

Sideground IP

... Background IP" is

... Background IP" is

**generated**before the R D collaboration, "foreground IP" is**generated**during the R D collaboration, "postground IP" is**generated**in a certain time span ...### Famous quotes containing the word generated:

“It is precisely the purpose of the public opinion *generated* by the press to make the public incapable of judging, to insinuate into it the attitude of someone irresponsible, uninformed.”

—Walter Benjamin (1892–1940)

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