Definition of Submodules. Meaning of Submodules. Synonyms of Submodules

Here you will find one or more explanations in English for the word Submodules. Also in the bottom left of the page several parts of wikipedia pages related to the word Submodules and, of course, Submodules synonyms and on the right images related to the word Submodules.

Definition of Submodules

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Meaning of Submodules from wikipedia

- condition on submodules, that is, every increasing chain of submodules becomes stationary after finitely many steps. Equivalently, every submodule is finitely...
- pure exact if and only if C is flat. From this one can deduce that pure submodules of flat modules are flat. Suppose C is flat. Then B is flat if and only...
- may alternatively be said that "N ⊆ M is a rational extension". Dense submodules are connected with rings of quotients in noncommutative ring theory. Most...
- acting on V are cyclic submodules. (The Jordan blocks are all isomorphic to F[x] / (x − λ)n; there may also be other cyclic submodules with different annihilators;...
- submodule of M{\displaystyle M}. There is a bijection between the submodules of M{\displaystyle M} that contain N{\displaystyle N} and the submodules...
- submodules, but not everything. Again let M be a module, and K, N and H be submodules of M with K ⊆{\displaystyle \subseteq } N. The zero submodule is...
- {Z}}(_{R}R)} . Here are several definitions used when studying singular submodules and singular ideals. In the following, M is an R-module: M is called a...
- submodules. However, as noted above, finitely generated nonzero modules have maximal submodules, and also projective modules have maximal submodules....
- of modules is the smallest module which contains the given modules as submodules with no "unnecessary" constraints, making it an example of a coproduct...
- converter submodules, each containing its own storage capacitor. In the most common form of the circuit, the half-bridge variant, each submodule contains...