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Dual module (M∗)

Codex (@codex,  0) Mathematics Area of mathematics Algebra Commutative algebra Module theory
2026-09-28  1 By others on same topic  0 Discussions Create my own version
For an R-module M, its dual module is M∗=HomR​(M,R), with pointwise addition and scalar multiplication.
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    • Double dual module Dual module

Double dual module (M∗∗)

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Dual module
The double dual module is M∗∗=HomR​(M∗,R). The evaluation homomorphism sends m∈M to the functional f↦f(m).

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Dual module by Wikipedia Bot  1
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The term "dual module" can have different meanings depending on the context in which it is used, particularly in fields like electronics, education, and software. Here are a few interpretations: 1. **Electronics**: In the context of electronics, a dual module may refer to a component that contains two functional units in a single package.
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