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Functor from a filtered category to the category of R-Mod

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#category-theory #modules #homological-algebra #direct-sum
28
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Biproduct in arrow category of additive category

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#category-theory #direct-sum #additive-categories
52
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the non-abelian subgroups of the Lamplighter group

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#group-theory #abelian-groups #automorphism-group #direct-sum #wreath-product
79
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submodule of completely reducible module is completely reducible

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#abstract-algebra #modules #direct-sum
58
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Codimension of a linear operator restricted to a finite dimensional subspace

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#functional-analysis #operator-theory #compact-operators #direct-sum
136
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Pontlyagin dual of direct sum,$ \widehat{\bigoplus_{i\in \Lambda} M_i} = \prod_{i\in \Lambda} \hat{M_i}. $

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#number-theory #topological-groups #duality-theorems #direct-sum
56
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Show that $(Ker(\psi))^{\perp} \subset Im(\phi)$

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#linear-algebra #linear-transformations #inner-products #direct-sum
38
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Is the projections to a factor in a submodule of a direct sum over a unital ring, a submodule of the ring?

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#ring-theory #direct-sum
28
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Module written as direct sum

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#abstract-algebra #ring-theory #modules #noncommutative-algebra #direct-sum
35
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Presentation of direct sum

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#direct-sum #group-presentation
94
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$\mathrm{Hom}_A(\prod_i M_i, N) \cong \prod_i \mathrm{Hom}_A(M_i, N)$ and $\mathrm{Hom}_A (M, \bigoplus_i N_i) \cong \prod_i \mathrm{Hom}_A(M, N_i)$?

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#abstract-algebra #modules #direct-sum #direct-product
60
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Exponent of $\Bbb Z$ in tensor product

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#abstract-algebra #notation #tensor-products #abelian-groups #direct-sum
43
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How to conclude that this is a semisimple algebra

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#abstract-algebra #modules #direct-sum
110
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Direct sum question problem

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#linear-algebra #direct-sum
109
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Is the direct sum $M\dot{+} N$ closed in $\ell^\infty (\mathbb{N})$?

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#functional-analysis #direct-sum

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