Finitely Generated Modules

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

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 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 - 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 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)