Question

Equivariant maps for modules over different rings

score 213 · Answer 1 · 2026-03-26 09:36:51

213

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Equivariant maps for modules over different rings

Published on 26 Mar 2026 - 9:36

score 86 · Answer 2 · 2018-04-26 13:17:02

86

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derivation in near-ring

Published on 26 Apr 2018 - 13:17

score 14.3k · Answer 3 · 2026-03-28 09:45:45

14.3k

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Show that the set $\mathbb{Q}[\sqrt{2}] = \{a + b \sqrt{2} \mid a, b \in \mathbb{Q}\}$ is a field with the usual multiplication and addition.

Published on 28 Mar 2026 - 9:45

score 37 · Answer 4 · 2018-04-26 15:58:06

For $p$ prime, and $T = (0, 2, 4, ... ,2p-2)$, a sub-ring in $\mathbb{Z}_{2p}$. Does $T$ have an identity element? Are there any zero divisors in $T$?

score 50 · Answer 5 · 2018-04-26 18:33:49

50

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Ring $4\mathbb{R}$

Published on 26 Apr 2018 - 18:33

score 617 · Answer 6 · 2018-04-26 22:42:27

617

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Dual properties of regular maps - injectivity and surjectivity.

Published on 26 Apr 2018 - 22:42

score 2.3k · Answer 7 · 2026-03-25 18:47:32

2.3k

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One question regarding a subring of $Q$ which will contain 1.

Published on 25 Mar 2026 - 18:47

score 264 · Answer 8 · 2026-03-25 23:13:08

264

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Prove that for the ring of dual numbers over $K$: $K[\epsilon]$, have $K[\epsilon]^{\times}\cong K^{\times}\times K^+$

Published on 25 Mar 2026 - 23:13

score 244 · Answer 9 · 2026-03-28 08:31:05

244

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Largest ideal contained in the intersection of two ideals?

Published on 28 Mar 2026 - 8:31

score 46 · Answer 10 · 2018-04-27 16:37:12

46

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Does $(5,X^2+1)=(5)+(X^2+1)$ in $\mathbb Z[X]$ ?

Published on 27 Apr 2018 - 16:37

score 59 · Answer 11 · 2018-04-27 18:34:29

59

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If $f$ is injective, $\alpha^{e} \subseteq \beta^{e}$, then is it true $\alpha\subseteq \beta$?

Published on 27 Apr 2018 - 18:34

score 97 · Answer 12 · 2018-04-27 20:59:31

97

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Why is this function neither surjective nor injective?

Published on 27 Apr 2018 - 20:59

score 233 · Answer 13 · 2026-03-26 02:47:49

233

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Is $ \mathbb{R}[x,y]/(x^2-y^2) \cong \mathbb{R}[x,y]/(x-y) \times \mathbb{R}[x,y]/(x+y) $?

Published on 26 Mar 2026 - 2:47

score 51 · Answer 14 · 2026-03-26 19:38:04

51

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Langs Algebra, module isomorphsim, alternate proof, p644

Published on 26 Mar 2026 - 19:38

score 544 · Answer 15 · 2018-04-28 01:54:52

544

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Division ring as a vector space over a subfield

Published on 28 Apr 2018 - 1:54

List Question

Equivariant maps for modules over different rings

derivation in near-ring

Show that the set $\mathbb{Q}[\sqrt{2}] = \{a + b \sqrt{2} \mid a, b \in \mathbb{Q}\}$ is a field with the usual multiplication and addition.

For $p$ prime, and $T = (0, 2, 4, ... ,2p-2)$, a sub-ring in $\mathbb{Z}_{2p}$. Does $T$ have an identity element? Are there any zero divisors in $T$?

Ring $4\mathbb{R}$

Dual properties of regular maps - injectivity and surjectivity.

One question regarding a subring of $Q$ which will contain 1.

Prove that for the ring of dual numbers over $K$: $K[\epsilon]$, have $K[\epsilon]^{\times}\cong K^{\times}\times K^+$

Largest ideal contained in the intersection of two ideals?

Does $(5,X^2+1)=(5)+(X^2+1)$ in $\mathbb Z[X]$ ?

If $f$ is injective, $\alpha^{e} \subseteq \beta^{e}$, then is it true $\alpha\subseteq \beta$?

Why is this function neither surjective nor injective?

Is $ \mathbb{R}[x,y]/(x^2-y^2) \cong \mathbb{R}[x,y]/(x-y) \times \mathbb{R}[x,y]/(x+y) $?

Langs Algebra, module isomorphsim, alternate proof, p644

Division ring as a vector space over a subfield

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