Question

Where in the proof did Herstein use the fact that $A$ is a two-sided ideal of $R$?

score 348 · Answer 1 · 2013-08-06 09:24:27

348

Views

Where in the proof did Herstein use the fact that $A$ is a two-sided ideal of $R$?

Published on 06 Aug 2013 - 9:24

score 847 · Answer 2 · 2013-08-09 01:58:24

847

Views

The structure of a Noetherian ring in which every element is an idempotent.

Published on 09 Aug 2013 - 1:58

score 114 · Answer 3 · 2013-08-11 00:13:51

114

Views

If $R$ is a rng, show that $R\times \mathbb{Z}$ contains a subset in one to one correspondence with $R$.

Published on 11 Aug 2013 - 0:13

score 1.2k · Answer 4 · 2013-09-11 03:51:11

1.2k

Views

What is the definition of 'span' in a module?

Published on 11 Sep 2013 - 3:51

score 143 · Answer 5 · 2013-12-10 22:44:16

143

Views

No nonzero proper ideals of $K$-algebra $A$ implies the ring $A$ has no nonzero proper ideals

Published on 10 Dec 2013 - 22:44

score 2.8k · Answer 6 · 2013-12-13 23:53:36

2.8k

Views

Existence of prime ideals in rings without identity

Published on 13 Dec 2013 - 23:53

score 335 · Answer 7 · 2013-12-21 14:09:17

335

Views

$r$ is not nilpotent, $r-r^2$ is nilpotent, then the ring has a non-zero idempotent

Published on 21 Dec 2013 - 14:09

score 966 · Answer 8 · 2013-12-25 04:04:21

966

Views

An example of a ring without identity that does not contain any maximal ideal.

Published on 25 Dec 2013 - 4:04

score 178 · Answer 9 · 2014-01-28 18:21:35

178

Views

For a commutative ring R without identity, there exists a∈R such that Ra≠R

Published on 28 Jan 2014 - 18:21

score 1.6k · Answer 10 · 2014-02-04 16:48:19

1.6k

Views

Idempotents in a ring without unity (rng) and no zero divisors.

Published on 04 Feb 2014 - 16:48

score 42 · Answer 11 · 2017-06-06 21:55:14

42

Views

If an ordered rng $A$ has a upper or lower bound, then $A = {0}$

Published on 06 Jun 2017 - 21:55

score 1.1k · Answer 12 · 2017-07-01 17:38:37

1.1k

Views

$R$ a ring with 1 and charac. $n>1$ (resp. 0) $\implies R$ contains a subring $\simeq \Bbb{Z}_n$ (resp. $\Bbb{Z}$). What happens if $R$ has no 1?!

Published on 01 Jul 2017 - 17:38

score 2.2k · Answer 13 · 2017-07-10 19:00:33

2.2k

Views

Ideal of direct sum of rings.

Published on 10 Jul 2017 - 19:00

score 413 · Answer 14 · 2017-08-02 08:00:13

413

Views

Every commutative ring of characteristic $p$ contains $\mathbb F_p$ as a subring?

Published on 02 Aug 2017 - 8:00

score 286 · Answer 15 · 2017-09-12 23:52:11

286

Views

Definition: rng ideal versus algebra ideal in a non-unital $C^*$-algebra

Published on 12 Sep 2017 - 23:52

List Question

Where in the proof did Herstein use the fact that $A$ is a two-sided ideal of $R$?

The structure of a Noetherian ring in which every element is an idempotent.

If $R$ is a rng, show that $R\times \mathbb{Z}$ contains a subset in one to one correspondence with $R$.

What is the definition of 'span' in a module?

No nonzero proper ideals of $K$-algebra $A$ implies the ring $A$ has no nonzero proper ideals

Existence of prime ideals in rings without identity

$r$ is not nilpotent, $r-r^2$ is nilpotent, then the ring has a non-zero idempotent

An example of a ring without identity that does not contain any maximal ideal.

For a commutative ring R without identity, there exists a∈R such that Ra≠R

Idempotents in a ring without unity (rng) and no zero divisors.

If an ordered rng $A$ has a upper or lower bound, then $A = {0}$

$R$ a ring with 1 and charac. $n>1$ (resp. 0) $\implies R$ contains a subring $\simeq \Bbb{Z}_n$ (resp. $\Bbb{Z}$). What happens if $R$ has no 1?!

Ideal of direct sum of rings.

Every commutative ring of characteristic $p$ contains $\mathbb F_p$ as a subring?

Definition: rng ideal versus algebra ideal in a non-unital $C^*$-algebra

Trending Questions

Popular # Hahtags

Popular Questions