Question

How do I define a multiplication operator here so that this mapping is isomoprhic?

score 34 · Answer 1 · 2026-04-11 09:02:02

34

Views

How do I define a multiplication operator here so that this mapping is isomoprhic?

Published on 11 Apr 2026 - 9:02

score 172 · Answer 2 · 2026-03-25 13:33:26

172

Views

GAP — compute kernel of a matrix with coefficients in a finite ring

Published on 25 Mar 2026 - 13:33

score 770 · Answer 3 · 2026-03-31 20:25:45

770

Views

Example of prime ideals in $\mathbb{R}[x]$

Published on 31 Mar 2026 - 20:25

score 213 · Answer 4 · 2026-04-01 22:38:14

213

Views

Relation between global dimension and sup of injective dimensions of $R/I$

Published on 01 Apr 2026 - 22:38

score 151 · Answer 5 · 2026-04-10 16:10:19

151

Views

In the definition of localization of a ring $R$, why do we require the existence of $t$ in the multiplicative subset to define the equiv relation?

Published on 10 Apr 2026 - 16:10

score 528 · Answer 6 · 2026-03-25 13:34:20

528

Views

For $F$ a finitely generated free $R$-module, prove $F \cong \text{Hom}_R (F, R)$

Published on 25 Mar 2026 - 13:34

score 125 · Answer 7 · 2026-04-09 03:40:07

125

Views

Finite Boolean ring with $1 \neq 0$ is isomorphic to $\mathbb{Z}_2\times \mathbb{Z}_2 \times \dots \times \mathbb{Z}_2$

Published on 09 Apr 2026 - 3:40

score 68 · Answer 8 · 2026-04-01 22:39:04

68

Views

quasi-Frobenius iff Frobenius iff $\operatorname{ann}(m)\cong R/m$. its relation to algebraic geometry

Published on 01 Apr 2026 - 22:39

score 50 · Answer 9 · 2026-04-10 08:11:50

50

Views

Is Euclidean division unique in an ED

Published on 10 Apr 2026 - 8:11

score 325 · Answer 10 · 2026-03-31 20:28:03

325

Views

Intersection of ideals $(x,y),(y,z)$ and $(x,z)$ in $K[x,y,z]$

Published on 31 Mar 2026 - 20:28

score 833 · Answer 11 · 2026-04-11 06:31:50

833

Views

Are the rings $2\mathbb{Z}/4\mathbb{Z}$ and $\mathbb{Z}_2$ isomorphic?

Published on 11 Apr 2026 - 6:31

score 217 · Answer 12 · 2026-04-11 17:36:33

217

Views

An equivalent definition of division rings (in module theory)

Published on 11 Apr 2026 - 17:36

score 54 · Answer 13 · 2026-03-31 22:05:36

54

Views

ideal I=(x^3,x^5) of the polynomial ring Q[x]

Published on 31 Mar 2026 - 22:05

score 271 · Answer 14 · 2026-03-25 14:22:10

271

Views

If every non-zero ring homomorphism $\phi: K\rightarrow S$ is injective, $K$ is field

Published on 25 Mar 2026 - 14:22

score 1k · Answer 15 · 2026-04-11 16:28:05

1k

Views

Showing a Functor is not Representable

Published on 11 Apr 2026 - 16:28

List Question

How do I define a multiplication operator here so that this mapping is isomoprhic?

GAP — compute kernel of a matrix with coefficients in a finite ring

Example of prime ideals in $\mathbb{R}[x]$

Relation between global dimension and sup of injective dimensions of $R/I$

In the definition of localization of a ring $R$, why do we require the existence of $t$ in the multiplicative subset to define the equiv relation?

For $F$ a finitely generated free $R$-module, prove $F \cong \text{Hom}_R (F, R)$

Finite Boolean ring with $1 \neq 0$ is isomorphic to $\mathbb{Z}_2\times \mathbb{Z}_2 \times \dots \times \mathbb{Z}_2$

quasi-Frobenius iff Frobenius iff $\operatorname{ann}(m)\cong R/m$. its relation to algebraic geometry

Is Euclidean division unique in an ED

Intersection of ideals $(x,y),(y,z)$ and $(x,z)$ in $K[x,y,z]$

Are the rings $2\mathbb{Z}/4\mathbb{Z}$ and $\mathbb{Z}_2$ isomorphic?

An equivalent definition of division rings (in module theory)

ideal I=(x^3,x^5) of the polynomial ring Q[x]

If every non-zero ring homomorphism $\phi: K\rightarrow S$ is injective, $K$ is field

Showing a Functor is not Representable

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