Explore: Théorie Module

between the generators of an ideal, or, more generally, a module. As the relations form a module, one may consider the relations between the relations; the

with "commutative ring" and "module". Unital zero algebras allow the unification of the theory of submodules of a given module and the theory of ideals of

quasi-isomorphic to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated

known for his contributions to algebraic analysis, microlocal analysis, D-module theory, Hodge theory, sheaf theory and representation theory. He was awarded

known to be underlain by a vertex operator algebra called the moonshine module (or monster vertex algebra) constructed by Igor Frenkel, James Lepowsky

every module has a basis. A module that has a basis is called a free module. Free modules play a fundamental role in module theory, as they may be used

Dieudonné modules play for classifying algebraic groups over fields. Cartier, Pierre (1962), "Groupes algébriques et groupes formels", Colloq. Théorie des Groupes

Verdier (eds.), Séminaire de Géométrie Algébrique du Bois Marie – 1963–64 – Théorie des topos et cohomologie étale des schémas – (SGA 4) – vol. 1, Lecture

In mathematics, especially in the fields of representation theory and module theory, a Frobenius algebra is a finite-dimensional unital associative algebra

components. It has a straightforward extension to modules stating that every submodule of a finitely generated module over a Noetherian ring is a finite intersection