Question

When do we know a quotient of the polynomial ring over a local ring is torsion-free?

score 292 · Answer 1 · 2026-03-25 17:21:29

292

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When do we know a quotient of the polynomial ring over a local ring is torsion-free?

Published on 25 Mar 2026 - 17:21

score 154 · Answer 2 · 2026-03-25 04:42:58

154

Views

About infinite chains of subgroups containing an infinite subgroup of a locally finite group

Published on 25 Mar 2026 - 4:42

score 1.2k · Answer 3 · 2026-03-25 17:36:13

1.2k

Views

Torsion Coefficient in Group Theory

Published on 25 Mar 2026 - 17:36

score 157 · Answer 4 · 2018-08-18 15:04:44

157

Views

Proving Specific Quotient Group is Torsion-Free

Published on 18 Aug 2018 - 15:04

score 133 · Answer 5 · 2026-03-25 17:45:34

133

Views

Can we prove that $(\mathbb{Z}/p^{n}\mathbb{Z})^{\times}$ is a cyclic group by using $p$-adic integer?

Published on 25 Mar 2026 - 17:45

score 134 · Answer 6 · 2026-03-25 07:45:57

134

Views

What are the elements of $\Bbb Z[\frac16]/{\sim}$ and what do the subgroups and orders of elements look like?

Published on 25 Mar 2026 - 7:45

score 1.1k · Answer 7 · 2026-03-25 11:14:49

1.1k

Views

Torsion subgroup of a finitely-generated abelian group is finite?

Published on 25 Mar 2026 - 11:14

score 28 · Answer 8 · 2018-10-18 07:24:13

28

Views

How do I interpret all factors have a common finite exponent in this context?

Published on 18 Oct 2018 - 7:24

score 579 · Answer 9 · 2018-10-19 10:12:25

579

Views

Elliptic curve with only torsion points

Published on 19 Oct 2018 - 10:12

score 164 · Answer 10 · 2018-11-20 10:50:40

164

Views

Isomorphism on a torsion group - automorphism or endomorphism?

Published on 20 Nov 2018 - 10:50

score 117 · Answer 11 · 2026-03-25 14:25:24

117

Views

Let $A$ be an abelian finitely generated free group and $A/B$ be a torsion group. Show that $rank(A)=rank(B)$.

Published on 25 Mar 2026 - 14:25

score 137 · Answer 12 · 2018-12-11 10:28:15

137

Views

Question in Algebra by Serge Lang.

Published on 11 Dec 2018 - 10:28

score 330 · Answer 13 · 2019-01-16 16:34:26

330

Views

Generating random (torsion) point on elliptic curve efficiently

Published on 16 Jan 2019 - 16:34

score 177 · Answer 14 · 2019-01-21 20:52:26

177

Views

Torsion in Cokernel is Annihilated by Integer

Published on 21 Jan 2019 - 20:52

score 70 · Answer 15 · 2019-01-30 03:46:16

70

Views

If $G=A\times B$, where $A$- torsion group, $B$-free abelian group, how to show that $A=G_{tor}$

Published on 30 Jan 2019 - 3:46

List Question

When do we know a quotient of the polynomial ring over a local ring is torsion-free?

About infinite chains of subgroups containing an infinite subgroup of a locally finite group

Torsion Coefficient in Group Theory

Proving Specific Quotient Group is Torsion-Free

Can we prove that $(\mathbb{Z}/p^{n}\mathbb{Z})^{\times}$ is a cyclic group by using $p$-adic integer?

What are the elements of $\Bbb Z[\frac16]/{\sim}$ and what do the subgroups and orders of elements look like?

Torsion subgroup of a finitely-generated abelian group is finite?

How do I interpret all factors have a common finite exponent in this context?

Elliptic curve with only torsion points

Isomorphism on a torsion group - automorphism or endomorphism?

Let $A$ be an abelian finitely generated free group and $A/B$ be a torsion group. Show that $rank(A)=rank(B)$.

Question in Algebra by Serge Lang.

Generating random (torsion) point on elliptic curve efficiently

Torsion in Cokernel is Annihilated by Integer

If $G=A\times B$, where $A$- torsion group, $B$-free abelian group, how to show that $A=G_{tor}$

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