List questions from polynomial-rings

Published on 11 Nov 2017 - 20:15

302

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Formal derivative of polynomials with coefficients in a quotient ring $GF(2)[x]/p(x)$

Published on 17 Nov 2017 - 23:23

128

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Relatively simple algorithm for factoring polynomials in $GF(2^k)[x]$ with $32 \leq k \leq 128$

Published on 18 Nov 2017 - 2:39

138

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Identity map induces homomorphism on completions

Published on 21 Nov 2017 - 11:52

51

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A question about field of fractions of a ring of functions

Published on 22 Nov 2017 - 13:39

263

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Possible misconception of the ring of polynomials over a field F.

Published on 23 Nov 2017 - 7:03

1.3k

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Is the gcd of two polynomials in $F[x]$ where $F$ is a field unique?

Published on 23 Nov 2017 - 22:33

1.4k

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Defining irreducible polynomials over polynomial rings

Published on 27 Nov 2017 - 12:38

143

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How to write polynomial rings.

Published on 02 Dec 2017 - 19:06

2.2k

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Understanding Quotient of a Quotient Ring

Published on 15 Dec 2017 - 13:06

861

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Find the sum and product of $f(x)=3x-5, g(x)=2x^2-4x+3$ in $Z_8$.

Published on 15 Dec 2017 - 17:22

102

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Prove that any element of this group ring is an associate to an element of the polynomial ring and that the group ring is an integral domain

Published on 16 Dec 2017 - 19:11

271

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Ideals in a polynomial ring

Published on 02 Jan 2018 - 16:25

744

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A Field of Polynomials of a Linear Operator

Published on 10 Jan 2018 - 23:04

187

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Identifying the ring $R=\mathbb{Z}_{9}[x]/(x^2-3,3x)$

Published on 23 Feb 2026 - 21:13

List Question

Prime ideals in polynomial rings satisfying a particular condition

Formal derivative of polynomials with coefficients in a quotient ring $GF(2)[x]/p(x)$

Relatively simple algorithm for factoring polynomials in $GF(2^k)[x]$ with $32 \leq k \leq 128$

Identity map induces homomorphism on completions

A question about field of fractions of a ring of functions

Possible misconception of the ring of polynomials over a field F.

Is the gcd of two polynomials in $F[x]$ where $F$ is a field unique?

Defining irreducible polynomials over polynomial rings

How to write polynomial rings.

Understanding Quotient of a Quotient Ring

Find the sum and product of $f(x)=3x-5, g(x)=2x^2-4x+3$ in $Z_8$.

Prove that any element of this group ring is an associate to an element of the polynomial ring and that the group ring is an integral domain

Ideals in a polynomial ring

A Field of Polynomials of a Linear Operator

Identifying the ring $R=\mathbb{Z}_{9}[x]/(x^2-3,3x)$

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