Question

A complete linearly topologized module which is not linearly compact?

score 78 · Answer 1 · 2026-03-25 07:42:44

78

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A complete linearly topologized module which is not linearly compact?

Published on 25 Mar 2026 - 7:42

score 138 · Answer 2 · 2026-04-16 13:40:15

138

Views

Zero-divisors of the tensor prodct

Published on 16 Apr 2026 - 13:40

score 29 · Answer 3 · 2026-04-11 07:41:29

29

Views

Submodules and summands of the right $\mathbb{Z}$-module $\mathbb{Z} \oplus \mathbb{Z}$.

Published on 11 Apr 2026 - 7:41

score 52 · Answer 4 · 2026-03-25 19:06:47

52

Views

Prove that a module over a subring of matrices is isomorphic to a direct sum of vector spaces over that ring

Published on 25 Mar 2026 - 19:06

score 35 · Answer 5 · 2026-04-16 19:32:06

35

Views

If $f,g: M \longrightarrow M$ are $R$ module homomorphisms, then $f \circ g \equiv 0 \iff g \circ f \equiv 0$?

Published on 16 Apr 2026 - 19:32

score 53 · Answer 6 · 2026-04-13 21:48:37

53

Views

Given a non-singular rational matrix $Q \in \mathbb Q^{n\times n}$, what is $Q(\mathbb Z^{n}) \cap \mathbb Z^{n}$?

Published on 13 Apr 2026 - 21:48

score 140 · Answer 7 · 2026-04-14 17:45:11

140

Views

Does there exist a non-singular matrix $Q \in \mathbb Q^{n\times n}$ with the following two properties?

Published on 14 Apr 2026 - 17:45

score 76 · Answer 8 · 2026-04-17 12:11:00

76

Views

$\phi: P \to M$ epimorphism with $P$ projective and another epimorphism $f:R \to M$, then $P = Ker(\phi) + Im(g)$ (g by R projectivity)

Published on 17 Apr 2026 - 12:11

score 117 · Answer 9 · 2026-04-15 10:40:12

117

Views

Recovering the center of a ring

Published on 15 Apr 2026 - 10:40

score 161 · Answer 10 · 2026-03-26 14:28:07

161

Views

Atiyah MacDonald Exercise 2.2

Published on 26 Mar 2026 - 14:28

score 84 · Answer 11 · 2026-04-15 01:40:16

84

Views

For which groups $G$ there is an integer $n$ with this property?

Published on 15 Apr 2026 - 1:40

score 33 · Answer 12 · 2026-04-14 12:00:56

33

Views

"bimodule" on two ringed spaces and the tensor-hom adjunction of $\mathscr{O}_X$-modules

Published on 14 Apr 2026 - 12:00

score 22 · Answer 13 · 2026-04-14 04:22:36

22

Views

A prime ring $R$ that is not a prime $R\otimes_{\mathbb{Z}}R^{op}$-module

Published on 14 Apr 2026 - 4:22

score 70 · Answer 14 · 2026-04-14 10:19:41

70

Views

Deducing the Cayley-Hamilton theorem from the rational canonical form

Published on 14 Apr 2026 - 10:19

score 45 · Answer 15 · 2026-04-13 18:22:49

45

Views

Can Rings (with unity) over themselves always be viewed as free modules?

Published on 13 Apr 2026 - 18:22

List Question

A complete linearly topologized module which is not linearly compact?

Zero-divisors of the tensor prodct

Submodules and summands of the right $\mathbb{Z}$-module $\mathbb{Z} \oplus \mathbb{Z}$.

Prove that a module over a subring of matrices is isomorphic to a direct sum of vector spaces over that ring

If $f,g: M \longrightarrow M$ are $R$ module homomorphisms, then $f \circ g \equiv 0 \iff g \circ f \equiv 0$?

Given a non-singular rational matrix $Q \in \mathbb Q^{n\times n}$, what is $Q(\mathbb Z^{n}) \cap \mathbb Z^{n}$?

Does there exist a non-singular matrix $Q \in \mathbb Q^{n\times n}$ with the following two properties?

$\phi: P \to M$ epimorphism with $P$ projective and another epimorphism $f:R \to M$, then $P = Ker(\phi) + Im(g)$ (g by R projectivity)

Recovering the center of a ring

Atiyah MacDonald Exercise 2.2

For which groups $G$ there is an integer $n$ with this property?

"bimodule" on two ringed spaces and the tensor-hom adjunction of $\mathscr{O}_X$-modules

A prime ring $R$ that is not a prime $R\otimes_{\mathbb{Z}}R^{op}$-module

Deducing the Cayley-Hamilton theorem from the rational canonical form

Can Rings (with unity) over themselves always be viewed as free modules?

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