List questions from finite-rings

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Let $R$ be a finite commutative ring such that distinct ideals of $R$ have distinct orders (size). Is $R$ a PIR?

Published on 26 Apr 2016 - 16:22

70

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Is regular selection from recurrence also recurrence?

Published on 09 May 2016 - 6:45

406

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Prove there isn't a non-zero nilpotent element of a finite ring

Published on 21 May 2016 - 14:56

204

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Help with understanding quotient ring structure

Published on 15 Jun 2016 - 9:23

2.5k

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Groups and rings of order $p^2$.

Published on 02 Jul 2016 - 9:13

8k

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Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.

Published on 03 Apr 2013 - 12:48

1.4k

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Problem on a finite commutative ring with no zero divisors

Published on 11 Apr 2013 - 11:03

141

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Sufficient condition for commutativity of finite rings

Published on 21 Apr 2013 - 12:53

2.8k

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Structure theorem of finite rings

Published on 21 Apr 2013 - 16:34

3.4k

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Which finite groups are the group of units of some ring?

Published on 07 May 2013 - 12:43

544

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Finite ring of sets

Published on 14 May 2013 - 17:10

172

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How to understand ideals in $F$, which is a finite commutative ring with $1$

Published on 04 Jun 2013 - 21:13

560

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Finite set of zero-divisors implies finite ring

Published on 26 Jun 2013 - 18:03

290

Views

Additive group of a finite ring of square free order is cyclic

Published on 17 Jul 2013 - 14:10

331

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Presentation of finite rings (fields)

Published on 28 Jul 2013 - 14:08

List Question

Let $R$ be a finite commutative ring such that distinct ideals of $R$ have distinct orders (size). Is $R$ a PIR?

Is regular selection from recurrence also recurrence?

Prove there isn't a non-zero nilpotent element of a finite ring

Help with understanding quotient ring structure

Groups and rings of order $p^2$.

Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.

Problem on a finite commutative ring with no zero divisors

Sufficient condition for commutativity of finite rings

Structure theorem of finite rings

Which finite groups are the group of units of some ring?

Finite ring of sets

How to understand ideals in $F$, which is a finite commutative ring with $1$

Finite set of zero-divisors implies finite ring

Additive group of a finite ring of square free order is cyclic

Presentation of finite rings (fields)

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