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Rank function on finitely generated module over a domain.

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#commutative-algebra #modules
164
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Generator of $\text{Ann}(V)$ in $F[x]$

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#abstract-algebra #modules
937
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Projective and flat modules over polynomial rings

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#abstract-algebra #ring-theory #modules #projective-module #flatness
558
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$M$ is artinian or noetherian $\implies$ M has a composition series.

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#abstract-algebra #modules #noetherian #artinian
506
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quotient of polynomial ring in two variables as a module isomorphic to polynomial ring in one variable?

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#abstract-algebra #polynomials #ring-theory #commutative-algebra #modules
69
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Using a right-exact functor to show isomorphism

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#abstract-algebra #modules #tensor-products
44
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Possible misunderstanding of problem in Homological Algebra

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#soft-question #modules #homological-algebra
33
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Question regarding Modules

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#linear-algebra #modules
464
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Explanation of fefinition of cartesian product for modules, relation with simple cartesian procuts from cartesian plane

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#abstract-algebra #ring-theory #modules
101
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When is an Abelian Category a Category of Vector Spaces?

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#modules #abelian-categories
47
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Module Categories and Cocontinuity of Hom

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#category-theory #modules #homological-algebra
105
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Defining the most natural map between two modules

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#abstract-algebra #ring-theory #modules
80
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Straightforward application of Exactness of sequence

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#modules #homological-algebra #homology-cohomology
1.7k
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Example of non-flat modules

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#abstract-algebra #ring-theory #modules #flatness
213
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A necessary condition for $Rad M$ to be the unique largest superfluous submodule of $M$.

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#abstract-algebra #modules

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