integer module

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• Module (mathematics) — For other uses, see Module (disambiguation). In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring. Modules also… …   Wikipedia

• module — Synonyms and related words: Earth insertion, LEM, LM, apogee, article, attitude control rocket, ballistic capsule, burn, capsule, deep space ship, docking, docking maneuver, entity, ferry rocket, fuel ship, individual, injection, insertion,… …   Moby Thesaurus

• integer — Synonyms and related words: Gaussian integer, algebraic number, article, cardinal, cardinal number, cipher, collectivity, complex, complex number, defective number, digit, embodiment, entirety, entity, even number, figure, finite number, fraction …   Moby Thesaurus

• Finitely generated module — In mathematics, a finitely generated module is a module that has a finite generating set. Equivalently, it is a homomorphic image of a free module on finitely many generators. The kernel of this homomorphism need not be finitely generated (then… …   Wikipedia

• Indecomposable module — In abstract algebra, a module is indecomposable if it is non zero and cannot be written as a direct sum of two non zero submodules.Indecomposable is a weaker notion than simple module:simple means no proper submodule N < M,while indecomposable… …   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

• Quotient module — In abstract algebra, a branch of mathematics, given a module and a submodule, one can construct their quotient module. This construction, described below, is analogous to how one obtains the ring of integers modulo an integer n , see modular… …   Wikipedia

• Algebraic integer — This article deals with the ring of complex numbers integral over Z. For the general notion of algebraic integer, see Integrality .In number theory, an algebraic integer is a complex number which is a root of some monic polynomial (leading… …   Wikipedia

• Serial module — Chain ring redirects here. For the bicycle part, see Chainring. In abstract algebra, a uniserial module M is a module over a ring R, whose submodules are totally ordered by inclusion. This means simply that for any two submodules N1 and N2 of M,… …   Wikipedia

• Length of a module — In abstract algebra, the length of a module is a measure of the module s size . It is defined as the length of the longest ascending chain of submodules and is a generalization of the concept of dimension for vector spaces. The modules with… …   Wikipedia

• Fortran language features — This is a comprehensive overview of features of the Fortran 95 language, the version supported by almost all existing Fortran compilers. Old features that have been superseded by new ones are not described few of those historic features are used… …   Wikipedia