Fdtxjr

How to deal with a cynical class?

Is a lawful good "antagonist" effective?

Plywood subfloor won't screw down in a trailer home

If the Captain's screens are out, does he switch seats with the co-pilot?

Life insurance that covers only simultaneous/dual deaths

Counter-example to the existence of left Bousfield localization of combinatorial model category

What does it mean when multiple 々 marks follow a 、?

What has been your most complicated TikZ drawing?

Time travel short story where dinosaur doesn't taste like chicken

Can someone explain this Mudra being done by Ramakrishna Paramhansa in Samadhi?

What is the blue range indicating on this manifold pressure gauge?

Question about partial fractions with irreducible quadratic factors

Is having access to past exams cheating and, if yes, could it be proven just by a good grade?

Ban on all campaign finance?

How does Dispel Magic work against Stoneskin?

Should we release the security issues we found in our product as CVE or we can just update those on weekly release notes?

What Happens when Passenger Refuses to Fly Boeing 737 Max?

Can "semicircle" be used to refer to a part-circle that is not a exact half-circle?

Can you reject a postdoc offer after the PI has paid a large sum for flights/accommodation for your visit?

Running a subshell from the middle of the current command

How to make readers know that my work has used a hidden constraint?

Humans have energy, but not water. What happens?

Should QA ask requirements to developers?

Why do Australian milk farmers need to protest supermarkets' milk price?

Proving that a ring with some properties is commutative

Does there exist an ordered ring, with $mathbbZ$ as an ordered subring, such that some ring of p-adic integers can be formed as a quotient ring?A ring with prime characteristicFinite commutative ring with more than $frac23$ of its elements idempotentProving that there only finitely many minimal prime ideals of any ideal in Noetherian commutative ring$R$ be a commutative ring with unity , $|R^times|=p$ an odd prime then is $R$ isomorphic to a quotient of $mathbb Z_2[x]/langle x^p-1rangle$?A finite non commutative ring of a specific cardinalProving $a+a =0$ for Boolean ringnumber of solutions of $x^2=x$ divides the number of invertible elements in a ringShow that $2$ is invertible in a ring with odd cardinality.

0

$begingroup$

A is a ring with the next properties:

a) the order of $1$ is p (prime) in the group $(A,+)$

b) there exists $B subset A$ with $p$ elements such that : for all $x,y in A$, exists $b in B$ which verifies $xy=byx$.

Prove that A is commutative. Can somebody give me some tips, pelase? I have no idea how to solve it.

I managed to get that $k cdot1$ is invertible for all $kin 1,2,...,p-1 $

abstract-algebra ring-theory characteristics

share|cite|improve this question

asked Mar 10 at 20:18

GaboruGaboru

4407

$endgroup$

add a comment | 

0

$begingroup$

A is a ring with the next properties:

a) the order of $1$ is p (prime) in the group $(A,+)$

b) there exists $B subset A$ with $p$ elements such that : for all $x,y in A$, exists $b in B$ which verifies $xy=byx$.

Prove that A is commutative. Can somebody give me some tips, pelase? I have no idea how to solve it.

I managed to get that $k cdot1$ is invertible for all $kin 1,2,...,p-1 $

abstract-algebra ring-theory characteristics

share|cite|improve this question

asked Mar 10 at 20:18

GaboruGaboru

4407

$endgroup$

add a comment | 

$begingroup$

A is a ring with the next properties:

a) the order of $1$ is p (prime) in the group $(A,+)$

b) there exists $B subset A$ with $p$ elements such that : for all $x,y in A$, exists $b in B$ which verifies $xy=byx$.

Prove that A is commutative. Can somebody give me some tips, pelase? I have no idea how to solve it.

I managed to get that $k cdot1$ is invertible for all $kin 1,2,...,p-1 $

abstract-algebra ring-theory characteristics

share|cite|improve this question

asked Mar 10 at 20:18

GaboruGaboru

4407

$endgroup$

share|cite|improve this question

asked Mar 10 at 20:18

GaboruGaboru

4407

share|cite|improve this question

asked Mar 10 at 20:18

GaboruGaboru

4407

asked Mar 10 at 20:18

GaboruGaboru

4407

asked Mar 10 at 20:18

GaboruGaboru

4407