In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative)...

hardware Multi-chip module, a modern technique that combines several complex computer chips into a single larger unit Module (mathematics) over a ring, a...

mathematics, a free module is a module that has a basis, that is, a generating set that is linearly independent. Every vector space is a free module,...

In mathematics, particularly in algebra, the class of projective modules enlarges the class of free modules (that is, modules with basis vectors) over...

In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated module over a ring R may also be called...

algebra, a module homomorphism is a function between modules that preserves the module structures. Explicitly, if M and N are left modules over a ring...

In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties...

In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms...

In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module...

algebra, flat modules include free modules, projective modules, and, over a principal ideal domain, torsion-free modules. Formally, a module M over a ring...