Question

In modular arithmetic, is a residue class a vector space? Does it have other structure, e.g., ring or group structure?

score 1.1k · Answer 1 · 2016-09-16 02:58:22

1.1k

Views

In modular arithmetic, is a residue class a vector space? Does it have other structure, e.g., ring or group structure?

Published on 16 Sep 2016 - 2:58

score 132 · Answer 2 · 2026-03-28 02:09:36

132

Views

Compact modulo subgroup definition

Published on 28 Mar 2026 - 2:09

score 723 · Answer 3 · 2016-09-20 08:06:50

723

Views

Cartensian product of Quotient maps

Published on 20 Sep 2016 - 8:06

score 3.4k · Answer 4 · 2016-09-23 01:22:08

3.4k

Views

How to prove: Real projective plane is a manifold

Published on 23 Sep 2016 - 1:22

score 1k · Answer 5 · 2026-03-25 12:54:30

1k

Views

Difference between a $G$-invariant measure on $G/H$ and a Haar measure on $G/H$

Published on 25 Mar 2026 - 12:54

score 135 · Answer 6 · 2016-09-23 14:53:41

135

Views

Metric space gluing: the double-disk boundary metric

Published on 23 Sep 2016 - 14:53

score 163 · Answer 7 · 2026-03-25 17:45:13

163

Views

Understanding Wikipedia's definition for lattice

Published on 25 Mar 2026 - 17:45

score 281 · Answer 8 · 2026-03-25 12:54:18

281

Views

Some questions about rigorous proof of cut and paste technique in constructing connected sum

Published on 25 Mar 2026 - 12:54

score 47 · Answer 9 · 2016-09-30 17:27:45

47

Views

Commutative property in Quotient ring does not work

Published on 30 Sep 2016 - 17:27

score 220 · Answer 10 · 2016-10-03 10:42:24

220

Views

Proof for vector space structure on $V/U $

Published on 03 Oct 2016 - 10:42

score 235 · Answer 11 · 2016-10-03 11:01:32

235

Views

Extracting connectedness of a topological group G from its action on a connected space X

Published on 03 Oct 2016 - 11:01

score 126 · Answer 12 · 2016-10-05 16:55:34

126

Views

Difference between $\mathbb{Z}/p^e\mathbb{Z}$ and the finite field $\mathbb{F}_{p^e}$?

Published on 05 Oct 2016 - 16:55

score 198 · Answer 13 · 2016-10-06 05:16:11

198

Views

Continuous and Properly discontinuous group action implies quotient space is Hausdorff

Published on 06 Oct 2016 - 5:16

score 745 · Answer 14 · 2016-10-06 21:41:53

745

Views

If $R$ is itself a field, show that $R = F$.

Published on 06 Oct 2016 - 21:41

score 644 · Answer 15 · 2016-10-08 12:49:18

644

Views

Show that $\mathbb{R}^n/\mathbb{Z}^n$ is a manifold

Published on 08 Oct 2016 - 12:49

List Question

In modular arithmetic, is a residue class a vector space? Does it have other structure, e.g., ring or group structure?

Compact modulo subgroup definition

Cartensian product of Quotient maps

How to prove: Real projective plane is a manifold

Difference between a $G$-invariant measure on $G/H$ and a Haar measure on $G/H$

Metric space gluing: the double-disk boundary metric

Understanding Wikipedia's definition for lattice

Some questions about rigorous proof of cut and paste technique in constructing connected sum

Commutative property in Quotient ring does not work

Proof for vector space structure on $V/U $

Extracting connectedness of a topological group G from its action on a connected space X

Difference between $\mathbb{Z}/p^e\mathbb{Z}$ and the finite field $\mathbb{F}_{p^e}$?

Continuous and Properly discontinuous group action implies quotient space is Hausdorff

If $R$ is itself a field, show that $R = F$.

Show that $\mathbb{R}^n/\mathbb{Z}^n$ is a manifold

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