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Finitely presented modules and homomorphism modules

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#abstract-algebra #commutative-algebra #modules #projective-module
56
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Prove or disprove: if $B_{1}$ is $R-$submodule of $B$, then $f^{-1}(B_{1})$ is $R-$submodule of $A$.

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#abstract-algebra #solution-verification #modules
93
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Zero tensor product over non-commutative rings

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#abstract-algebra #modules #tensor-products
242
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Equivalence statement for existence product of modules

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#modules #infinite-product #universal-property
60
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Let $N$ be a coatomic module of $M$. Then $N$ is coneat in $M$ if and only if $N$ is coclosed in $M$.

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#abstract-algebra #modules
63
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Can you determine all the right $R$-submodules of the right $R$-module $\begin{pmatrix} 0 & \mathbb{Q} \\ 0 & \mathbb{Q} \end{pmatrix}$

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#modules #representation-theory
39
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How are "types" defined in this module?

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#abstract-algebra #modules #direct-sum #p-groups #quotient-set
86
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Interpretation of $B\otimes M$ when $B\subset A$

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#abstract-algebra #modules #tensor-products #exact-sequence #flatness
44
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what are the differences between Jordan Canonical forms and rational canonical forms?

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#linear-algebra #abstract-algebra #vector-spaces #modules #jordan-normal-form
78
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Examples of exact sequence in Hungerford’s Abstract Algebra

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#abstract-algebra #modules #exact-sequence
62
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Check finiteness of ring map with SAGE

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#ring-theory #modules #ring-homomorphism #sagemath
90
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To prove two functors are left and right adjoint

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#modules #adjoint-functors
73
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Give a non-zero $R$-module $M$ such that $M \oplus M \cong M$

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#abstract-algebra #modules #direct-sum
50
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The multiplicative group of a finite field is cyclic, using modules

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#abstract-algebra #modules #finite-fields #abelian-groups #principal-ideal-domains
56
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Are G-modules the same as left modules over the corresponding group ring?

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#ring-theory #modules #definition

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