XI. Modules Flashcards
1
Q
Theorem X.6.5
Every P.I.D. is a …
A
2
Q
Definition
R-module.
A
3
Q
Definition
R-submodule.
A
4
Q
Definition
Quotient module.
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5
Q
Lemma XI.2.6
Direct product is…
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6
Q
Definition
Module homomorphism.
Isomorphism.
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7
Q
Theorem XI.2.10
The Isomorphism Theorem.
A
8
Q
Exercise XI.2.11
\phi is injective iff.
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9
Q
Exercise XI.2.12
The Correspondence Theorem
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10
Q
Definition
R-span.
Spans/generated.
Finitely generated.
A
11
Q
Exercise XI.3.1
Span_{R}(x) is a…
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12
Q
Exercise XI.3.2
R^{n} is…
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13
Q
Theorem XI.3.3
M is finitely generated iff.
A
14
Q
Definition
R-linearly independent.
R-basis.
Free of rank n.
A
15
Q
Exercise X1.3.4
A subset is an R-basis iff.
A
