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15
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Proving U(33) is isomorphic to $Z_{10}\oplus Z_2$?

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#abstract-algebra #group-theory #group-isomorphism #direct-sum
110
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Show that $\mathbb R^3$ is the direct sum of two of its subspaces

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#linear-algebra #vector-spaces #direct-sum
524
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Prove this function is a group homomorphism?

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#abstract-algebra #group-theory #trigonometry #group-homomorphism #direct-sum
221
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Supremum of a family of subobjects in an abelian category

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#category-theory #abelian-categories #direct-sum
317
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Prove that for each submodule $B$, there exist a submodule $C$ such that $A=B\oplus C$.

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#modules #direct-sum #division-ring
1.5k
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Direct sum of categories

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#abstract-algebra #category-theory #direct-sum
289
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A question about projective modules and free modules.

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#modules #direct-sum #projective-module #free-modules
552
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Direct sum of cyclic groups of integers modulo.

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#abstract-algebra #group-theory #cyclic-groups #direct-sum
431
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Adjoint of projection onto direct sum of Hilbert spaces

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#operator-theory #hilbert-spaces #adjoint-operators #direct-sum
2.7k
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What is the direct sum?

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#vector-spaces #direct-sum
34
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Show that $M = M_a \oplus M_b$.

Published on
#modules #principal-ideal-domains #direct-sum
79
Views

Show that $V=U\oplus W$ and $T=r_{U,W}$

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#linear-algebra #linear-transformations #direct-sum
131
Views

abelian group, direct summand

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#modules #abelian-groups #exact-sequence #direct-sum
166
Views

(inner) direct sum of von Neumann algebras and pairwise orthogonal central projections

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#operator-algebras #c-star-algebras #von-neumann-algebras #direct-sum
91
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In a infinite dimensional normed vector space $W=V \oplus U$ with $U$ finite dimensional, is the projection of $W$ on $V$ bounded?

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#functional-analysis #normed-spaces #direct-sum

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