Question

Does the Grothendieck group of finitely generated modules form a commutative ring where the multiplication structure is induced from tensor product?

score 680 · Answer 1 · 2026-04-10 06:00:12

680

Views

Does the Grothendieck group of finitely generated modules form a commutative ring where the multiplication structure is induced from tensor product?

Published on 10 Apr 2026 - 6:00

score 141 · Answer 2 · 2026-03-27 11:08:40

141

Views

unitisation of suspension of a $C^*$ algebra

Published on 27 Mar 2026 - 11:08

score 131 · Answer 3 · 2026-03-25 01:18:37

131

Views

The Grothendieck group of quasi-coherent sheaves on a projective smooth variety $X$.

Published on 25 Mar 2026 - 1:18

score 44 · Answer 4 · 2026-04-10 18:38:16

44

Views

the semigroup $D(\Bbb C)$

Published on 10 Apr 2026 - 18:38

score 297 · Answer 5 · 2026-05-10 12:35:32

297

Views

The group of units of $K_0$ and the Picard group of a finitely generated regular $\mathbb Z$-algebra

Published on 10 May 2026 - 12:35

score 94 · Answer 6 · 2026-03-25 01:18:55

94

Views

On equivalence of Bass conjecture of finite generatation of $K_0$ and $G_0$

Published on 25 Mar 2026 - 1:18

score 102 · Answer 7 · 2026-03-24 23:45:45

102

Views

a unitary does not in general lift to a unitary

Published on 24 Mar 2026 - 23:45

score 120 · Answer 8 · 2026-03-25 01:17:35

120

Views

Equivalence of categories of coherent sheaves

Published on 25 Mar 2026 - 1:17

score 31 · Answer 9 · 2026-03-25 01:17:38

31

Views

the isomorphism of $D(B(H))$,where ,$H$ is an infinite dimensional inseparable Hilbert space.

Published on 25 Mar 2026 - 1:17

score 231 · Answer 10 · 2026-04-26 18:37:10

231

Views

injective envelope in the category of left exact functors

Published on 26 Apr 2026 - 18:37

score 166 · Answer 11 · 2026-05-06 06:40:38

166

Views

On the ring structure of $K_0$ of the punctured spectrum of a regular local ring

Published on 06 May 2026 - 6:40

score 110 · Answer 12 · 2026-03-25 01:17:10

110

Views

A doubt in the proof of Heller's localization theorem in algebraic K-theory

Published on 25 Mar 2026 - 1:17

score 101 · Answer 13 · 2026-03-25 01:18:11

101

Views

How to get isomorphism $K(X)\cong \mathbb{Z}\times \underset{\to n}{\lim} {\rm Vect}_n(X)$

Published on 25 Mar 2026 - 1:18

score 178 · Answer 14 · 2026-03-25 01:17:43

178

Views

Projective modules of rank $n$ over a ring with $\operatorname{Pic}(R) = 0$

Published on 25 Mar 2026 - 1:17

score 65 · Answer 15 · 2026-04-14 00:11:29

65

Views

$P \oplus A^m\cong A^n$

Published on 14 Apr 2026 - 0:11

List Question

Does the Grothendieck group of finitely generated modules form a commutative ring where the multiplication structure is induced from tensor product?

unitisation of suspension of a $C^*$ algebra

The Grothendieck group of quasi-coherent sheaves on a projective smooth variety $X$.

the semigroup $D(\Bbb C)$

The group of units of $K_0$ and the Picard group of a finitely generated regular $\mathbb Z$-algebra

On equivalence of Bass conjecture of finite generatation of $K_0$ and $G_0$

a unitary does not in general lift to a unitary

Equivalence of categories of coherent sheaves

the isomorphism of $D(B(H))$,where ,$H$ is an infinite dimensional inseparable Hilbert space.

injective envelope in the category of left exact functors

On the ring structure of $K_0$ of the punctured spectrum of a regular local ring

A doubt in the proof of Heller's localization theorem in algebraic K-theory

How to get isomorphism $K(X)\cong \mathbb{Z}\times \underset{\to n}{\lim} {\rm Vect}_n(X)$

Projective modules of rank $n$ over a ring with $\operatorname{Pic}(R) = 0$

$P \oplus A^m\cong A^n$

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