proper module

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• 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

• Projective module — In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more flexible generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent… …   Wikipedia

• Galois module — In mathematics, a Galois module is a G module where G is the Galois group of some extension of fields. The term Galois representation is frequently used when the G module is a vector space over a field or a free module over a ring, but can also… …   Wikipedia

• Language module — refers to a hypothesized structure in the human brain (anatomical module) or cognitive system (functional module) that some psycholinguists (e.g., Steven Pinker) claim contains innate capacities for language. According to Jerry Fodor the sine qua …   Wikipedia

• Artinian module — In abstract algebra, an Artinian module is a module that satisfies the descending chain condition on its submodules. They are for modules what Artinian rings are for rings, and a ring is Artinian if and only if it is an Artinian module over… …   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

• 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

• electronic control module — (ECM) [1] The master computer responsible for interpreting electrical signals sent by engine sensors and for activating automated engine components and processes accordingly in order to produce optimum performance. [2] A GM term and also a… …   Dictionary of automotive terms

• Nakayama lemma — In mathematics, more specifically modern algebra and commutative algebra, Nakayama s lemma also known as the Krull–Azumaya theorem[1] governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely… …   Wikipedia

• Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …   Wikipedia

• Apollo 8 — Infobox Space mission mission name = Apollo 8 insignia = Apollo 8 patch.png command module = CM 103 mass 28,817 kg service module = SM 103 lunar module = Lunar Test Article (LTA B) mass 9,026 kg booster = Saturn V SA 503 crew size = 3 launch pad …   Wikipedia