Isomorphism between a finite ring and $Bbb Z/ 5Bbb Z$ [on hold] The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Ring homomorphisms from $Bbb Q$ into a ringrelation between units and non zero divisors in a ringAll possible zero divisors of the ring $Bbb Z_n oplus Bbb Z_m$.An example of a Ring with many zero divisorsIsomorphism between $Bbb R$ and $Bbb R(X)$?Isomorphism in a fieldDetermining isomorphism of ring of fractions/quotientsfinite commutative ring with n elements and its zero divisorsIsomorphism between polynomial ring and ringShow that a finite ring (with identity) is a division ring if and only if it has no zero divisors.
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Isomorphism between a finite ring and $Bbb Z/ 5Bbb Z$ [on hold]
The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Ring homomorphisms from $Bbb Q$ into a ringrelation between units and non zero divisors in a ringAll possible zero divisors of the ring $Bbb Z_n oplus Bbb Z_m$.An example of a Ring with many zero divisorsIsomorphism between $Bbb R$ and $Bbb R(X)$?Isomorphism in a fieldDetermining isomorphism of ring of fractions/quotientsfinite commutative ring with n elements and its zero divisorsIsomorphism between polynomial ring and ringShow that a finite ring (with identity) is a division ring if and only if it has no zero divisors.
$begingroup$
How to prove that if $R$ is a ring and $|R|=5$, then all its elements are zero divisors, or $R cong Bbb Z/ 5Bbb Z $?
abstract-algebra ring-isomorphism
edited Apr 8 at 22:01
user26857
39.5k124284
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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put on hold as off-topic by user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu Apr 9 at 6:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu
add a comment |
$begingroup$
How to prove that if $R$ is a ring and $|R|=5$, then all its elements are zero divisors, or $R cong Bbb Z/ 5Bbb Z $?
abstract-algebra ring-isomorphism
edited Apr 8 at 22:01
user26857
39.5k124284
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
put on hold as off-topic by user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu Apr 9 at 6:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu
$begingroup$
Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
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– Alex Provost
Apr 9 at 4:11
add a comment |
$begingroup$
How to prove that if $R$ is a ring and $|R|=5$, then all its elements are zero divisors, or $R cong Bbb Z/ 5Bbb Z $?
abstract-algebra ring-isomorphism
edited Apr 8 at 22:01
user26857
39.5k124284
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
How to prove that if $R$ is a ring and $|R|=5$, then all its elements are zero divisors, or $R cong Bbb Z/ 5Bbb Z $?
abstract-algebra ring-isomorphism
abstract-algebra ring-isomorphism
edited Apr 8 at 22:01
user26857
39.5k124284
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Apr 8 at 22:01
user26857
39.5k124284
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited Apr 8 at 22:01
user26857
39.5k124284
edited Apr 8 at 22:01
user26857
39.5k124284
edited Apr 8 at 22:01
user26857
39.5k124284
39.5k124284
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
asked Apr 8 at 13:46
Max ParshinMax Parshin
1
1
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Max Parshin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu Apr 9 at 6:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu
put on hold as off-topic by user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu Apr 9 at 6:56
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user26857, Lee David Chung Lin, Mike Earnest, Alex Provost, Tianlalu
$begingroup$
Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– Alex Provost
Apr 9 at 4:11
add a comment |
$begingroup$
Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– Alex Provost
Apr 9 at 4:11
$begingroup$
Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– Alex Provost
Apr 9 at 4:11
$begingroup$
Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
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– Alex Provost
Apr 9 at 4:11
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Note that a ring is in particular an abelian group, what can a finite abelian group of order $5$ be?
answered Apr 8 at 13:53
JaviJavi
3,15321032
$endgroup$
add a comment |
$begingroup$
Hint:
A ring has also an abelian group structure, and if an abelian group has $p$ elements where $p$ is prime then it must be a cyclic abelian group.
answered Apr 8 at 13:53
drhabdrhab
104k545136
$endgroup$
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Note that a ring is in particular an abelian group, what can a finite abelian group of order $5$ be?
answered Apr 8 at 13:53
JaviJavi
3,15321032
$endgroup$
add a comment |
$begingroup$
Note that a ring is in particular an abelian group, what can a finite abelian group of order $5$ be?
answered Apr 8 at 13:53
JaviJavi
3,15321032
$endgroup$
add a comment |
$begingroup$
Note that a ring is in particular an abelian group, what can a finite abelian group of order $5$ be?
answered Apr 8 at 13:53
JaviJavi
3,15321032
$endgroup$
Note that a ring is in particular an abelian group, what can a finite abelian group of order $5$ be?
answered Apr 8 at 13:53
JaviJavi
3,15321032
answered Apr 8 at 13:53
JaviJavi
3,15321032
answered Apr 8 at 13:53
JaviJavi
3,15321032
answered Apr 8 at 13:53
JaviJavi
3,15321032
3,15321032
add a comment |
add a comment |
$begingroup$
Hint:
A ring has also an abelian group structure, and if an abelian group has $p$ elements where $p$ is prime then it must be a cyclic abelian group.
answered Apr 8 at 13:53
drhabdrhab
104k545136
$endgroup$
add a comment |
$begingroup$
Hint:
A ring has also an abelian group structure, and if an abelian group has $p$ elements where $p$ is prime then it must be a cyclic abelian group.
answered Apr 8 at 13:53
drhabdrhab
104k545136
$endgroup$
add a comment |
$begingroup$
Hint:
A ring has also an abelian group structure, and if an abelian group has $p$ elements where $p$ is prime then it must be a cyclic abelian group.
answered Apr 8 at 13:53
drhabdrhab
104k545136
$endgroup$
Hint:
A ring has also an abelian group structure, and if an abelian group has $p$ elements where $p$ is prime then it must be a cyclic abelian group.
answered Apr 8 at 13:53
drhabdrhab
104k545136
answered Apr 8 at 13:53
drhabdrhab
104k545136
answered Apr 8 at 13:53
drhabdrhab
104k545136
answered Apr 8 at 13:53
drhabdrhab
104k545136
104k545136
add a comment |
add a comment |
$begingroup$
Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– Alex Provost
Apr 9 at 4:11