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Vector Space is a Free Module

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#vector-spaces #modules
624
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Can the rank of a module be equal to zero?

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#abstract-algebra #modules
58
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An "identity element" in a commutative rng in a module action.

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#ring-theory #modules #finitely-generated
250
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A short exact sequence is pure

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#abstract-algebra #modules #homological-algebra #exact-sequence
402
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Endomorphisms of a projective (non-free) module

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#abstract-algebra #modules #noncommutative-algebra
57
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How to find the direct (inductive) limit of any directed system?

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#reference-request #commutative-algebra #category-theory #modules
278
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Why is it important that every module is a quotient of a free module?

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#abstract-algebra #modules
32
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Finite unit regular rings that have proper ideals

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#ring-theory #modules
55
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Finding the rank of the endomorphism algebra of a projective module over a non-commutative algebra

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#abstract-algebra #modules #projective-module
359
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Understanding the definition of direct limit

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#commutative-algebra #category-theory #modules
127
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Examples of inite regular rings that are not semi-simple rings

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#ring-theory #modules
282
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Direct limit of arbitrary family of tensor products of A-algebras

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#commutative-algebra #category-theory #modules
31
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What does mean by the sentence "an $R$-module $M$ is $x$-torsion free"?

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#abstract-algebra #modules
131
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Prove that for $R$ a ring with unity and $M_R$ an $R$-module, the set of elements in $M$ which annihilate $I^k$, $I$ an ideal, is a submodule

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#abstract-algebra #ring-theory #modules #ideals
30
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Products of matrices over non-fields

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#group-theory #ring-theory #modules

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