Question

Direct sum of $n$ (infinite) cyclic groups isomorphic to direct sum of $n$ copies of $\mathbb{Z}$?

score 428 · Answer 1 · 2026-03-25 23:42:45

428

Views

Direct sum of $n$ (infinite) cyclic groups isomorphic to direct sum of $n$ copies of $\mathbb{Z}$?

Published on 25 Mar 2026 - 23:42

score 428 · Answer 2 · 2026-03-26 04:34:51

428

Views

Is there a nice way to express the quotient of the direct product of a family of groups with the corresponding direct sum?

Published on 26 Mar 2026 - 4:34

score 236 · Answer 3 · 2019-04-29 04:20:26

236

Views

About orthogonal complement in Gilbert Strang's "Linear Algebra and its Applications 2nd Edition"

Published on 29 Apr 2019 - 4:20

score 148 · Answer 4 · 2019-05-09 15:59:22

148

Views

Distributivity of tensor product over a direct sum

Published on 09 May 2019 - 15:59

score 80 · Answer 5 · 2026-03-19 08:34:06

80

Views

Sum of subsets is the whole set?

Published on 19 Mar 2026 - 8:34

score 254 · Answer 6 · 2019-05-23 10:38:57

254

Views

Rigorous Explanation of Internal Direct Sum Criterion

Published on 23 May 2019 - 10:38

score 403 · Answer 7 · 2019-05-23 15:08:47

403

Views

Internal direct sum of kernel of surjective homomorphism and cyclic subgroup

Published on 23 May 2019 - 15:08

score 401 · Answer 8 · 2026-03-25 11:14:46

401

Views

Does intersection of invariant subspace distribute over direct sum of invariant subspace found by minimal polynomial?

Published on 25 Mar 2026 - 11:14

score 1.1k · Answer 9 · 2019-05-28 17:32:43

1.1k

Views

Confusion about intersection of subspaces

Published on 28 May 2019 - 17:32

score 649 · Answer 10 · 2019-06-02 22:42:57

649

Views

Representation Theory Block Diagonalizing

Published on 02 Jun 2019 - 22:42

score 392 · Answer 11 · 2026-03-25 11:10:28

392

Views

How to prove this theorem on diagonalizable operator on finite dimensional Vector space.

Published on 25 Mar 2026 - 11:10

score 1.5k · Answer 12 · 2019-06-15 12:48:56

1.5k

Views

When does Hom functor commutes with direct sum in the second slot

Published on 15 Jun 2019 - 12:48

score 60 · Answer 13 · 2019-06-16 06:52:56

60

Views

What is the sum of the series? $\sum_{i=0}^{K+N-3}\left\lfloor \frac{i}{N-1} \right\rfloor$

Published on 16 Jun 2019 - 6:52

score 47 · Answer 14 · 2019-06-16 10:26:49

47

Views

Show: $\|u_n\|_X \leq \gamma^{n-1} \|u_0\|_X \quad \forall n \geq 1$

Published on 16 Jun 2019 - 10:26

score 103 · Answer 15 · 2019-06-16 11:42:38

103

Views

In Cartan decomposition, we have direct sum of vector spaces, no Lie algebras, right?

Published on 16 Jun 2019 - 11:42

List Question

Direct sum of $n$ (infinite) cyclic groups isomorphic to direct sum of $n$ copies of $\mathbb{Z}$?

Is there a nice way to express the quotient of the direct product of a family of groups with the corresponding direct sum?

About orthogonal complement in Gilbert Strang's "Linear Algebra and its Applications 2nd Edition"

Distributivity of tensor product over a direct sum

Sum of subsets is the whole set?

Rigorous Explanation of Internal Direct Sum Criterion

Internal direct sum of kernel of surjective homomorphism and cyclic subgroup

Does intersection of invariant subspace distribute over direct sum of invariant subspace found by minimal polynomial?

Confusion about intersection of subspaces

Representation Theory Block Diagonalizing

How to prove this theorem on diagonalizable operator on finite dimensional Vector space.

When does Hom functor commutes with direct sum in the second slot

What is the sum of the series? $\sum_{i=0}^{K+N-3}\left\lfloor \frac{i}{N-1} \right\rfloor$

Show: $\|u_n\|_X \leq \gamma^{n-1} \|u_0\|_X \quad \forall n \geq 1$

In Cartan decomposition, we have direct sum of vector spaces, no Lie algebras, right?

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