Question

Confusion on the proof that a totally associative ring must be unital

score 57 · Answer 1 · 2026-04-21 20:52:05

57

Views

Confusion on the proof that a totally associative ring must be unital

Published on 21 Apr 2026 - 20:52

score 488 · Answer 2 · 2026-04-15 06:40:08

488

Views

Prove that the set of all torsion elements of a module is a submodule of that module

Published on 15 Apr 2026 - 6:40

score 57 · Answer 3 · 2026-05-11 07:22:26

57

Views

homology of rings with enough idempotents

Published on 11 May 2026 - 7:22

score 341 · Answer 4 · 2026-03-26 02:46:54

341

Views

Are Socle of a module and it's injective hull same?

Published on 26 Mar 2026 - 2:46

score 31 · Answer 5 · 2026-04-16 21:57:49

31

Views

Correspondence between $l$-quasi-cyclic codes over $GF(q)$ of length $ml$ and left ideal of $ M_{l}(GF(q))[X]/(X^{m}-1) $

Published on 16 Apr 2026 - 21:57

score 73 · Answer 6 · 2026-04-14 14:26:02

73

Views

If $I\subseteq R$ and $R/I$ are both commutative Artinian principal ideal rings, then $R$ is a principal ideal ring.

Published on 14 Apr 2026 - 14:26

score 407 · Answer 7 · 2026-04-16 18:55:22

407

Views

Proving $R$-modules $Ra$ and $R/\mathrm{Ann}_R(a)$ are isomorphic.

Published on 16 Apr 2026 - 18:55

score 87 · Answer 8 · 2026-04-15 21:50:02

87

Views

$I$ nil ideal and $S/I$ is nil in $R/I$ then $S+I$ is nil.

Published on 15 Apr 2026 - 21:50

score 115 · Answer 9 · 2026-04-09 02:43:28

115

Views

Ideal for $2\times 2$ matrix entry in $\mathbb{Z}$

Published on 09 Apr 2026 - 2:43

score 40 · Answer 10 · 2026-04-13 20:52:15

40

Views

A question on multiplying cosets together.

Published on 13 Apr 2026 - 20:52

score 28 · Answer 11 · 2026-04-13 06:36:36

28

Views

Quotient Ring of $P_3/\{\emptyset,\{a\}\}$

Published on 13 Apr 2026 - 6:36

score 173 · Answer 12 · 2026-04-15 15:46:34

173

Views

Find all zero divisors and all inverses in polynomial quotient ring

Published on 15 Apr 2026 - 15:46

score 136 · Answer 13 · 2026-03-25 23:42:15

136

Views

$R$ is subring of $\mathbb{C}$, $R$ is not field, $Q$ is field of fractions, then is $[Q:R]$ infinite?

Published on 25 Mar 2026 - 23:42

score 182 · Answer 14 · 2026-03-25 15:49:51

182

Views

Prime ideal in $\mathbb{Z}[X]$ with prime constant polynomials.

Published on 25 Mar 2026 - 15:49

score 427 · Answer 15 · 2026-04-16 10:15:36

427

Views

Why isn't the set $\mathbb{R}^{+}$ of all nonnegative real numbers with the usual operations of + and · a ring?

Published on 16 Apr 2026 - 10:15

List Question

Confusion on the proof that a totally associative ring must be unital

Prove that the set of all torsion elements of a module is a submodule of that module

homology of rings with enough idempotents

Are Socle of a module and it's injective hull same?

Correspondence between $l$-quasi-cyclic codes over $GF(q)$ of length $ml$ and left ideal of $ M_{l}(GF(q))[X]/(X^{m}-1) $

If $I\subseteq R$ and $R/I$ are both commutative Artinian principal ideal rings, then $R$ is a principal ideal ring.

Proving $R$-modules $Ra$ and $R/\mathrm{Ann}_R(a)$ are isomorphic.

$I$ nil ideal and $S/I$ is nil in $R/I$ then $S+I$ is nil.

Ideal for $2\times 2$ matrix entry in $\mathbb{Z}$

A question on multiplying cosets together.

Quotient Ring of $P_3/\{\emptyset,\{a\}\}$

Find all zero divisors and all inverses in polynomial quotient ring

$R$ is subring of $\mathbb{C}$, $R$ is not field, $Q$ is field of fractions, then is $[Q:R]$ infinite?

Prime ideal in $\mathbb{Z}[X]$ with prime constant polynomials.

Why isn't the set $\mathbb{R}^{+}$ of all nonnegative real numbers with the usual operations of + and · a ring?

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