- Submodule
__A&V__A small circuit board that mounts on a larger module.

*Audio and video glossary.
2014.*

- Submodule
__A&V__A small circuit board that mounts on a larger module.

*Audio and video glossary.
2014.*

**submodule**— noun A module contained in a larger module, both over the same ring, such that the ring multiplication in the former is a restriction of that in the latter … Wiktionary**Dense submodule**— In abstract algebra, specifically in module theory, a dense submodule of a module is a refinement of the notion of an essential submodule. If N is a dense submodule of M, it may also be said it may alternatively be said that N ⊆ M is a… … Wikipedia**Singular submodule**— In the branches of abstract algebra known as ring theory and module theory, each right (resp. left) R module M has a singular submodule consisting of elements whose annihilators are essential right (resp. left) ideals in R. In set notation it is… … Wikipedia**Pure submodule**— In mathematics, especially in the field of module theory, the concept of pure submodule provides a generalization of direct summand, a type of particularly well behaved piece of a module. Pure modules are complementary to flat modules and… … Wikipedia**Injective module**— 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 with the Z module Q of all rational numbers. Specifically, if Q is a submodule of some… … Wikipedia**Torsion (algebra)**— In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Definition Let G be a group. An element g of G is called a torsion element if g has… … Wikipedia**Lasker–Noether theorem**— In mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be written as an intersection of finitely many primary ideals (which are related to, but not quite the same as, powers … Wikipedia**Finitely-generated module**— In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R module also may be called a finite R module or finite over R.[1] Related concepts include finitely cogenerated modules, finitely… … Wikipedia**Isomorphism theorem**— In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules,… … Wikipedia**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 theorem of finitely generated abelian groups and roughly states that… … Wikipedia