List questions from abstract-algebra

Published on 19 Apr 2026 - 21:12

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We have $f(x) \in R[x]$ and say that $(a+bi)$ is a zero. show that $(a-bi)$ is a zero.

Published on 17 Apr 2026 - 10:41

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Class hierarchy diagram for abstract algebra?

Published on 13 Apr 2026 - 1:22

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Comparing Two Rings $k[T]/(T^n)$ and $\mathbb{Z}/(p^n)$.

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Clarifying the homomorphism's definition?

Published on 10 Apr 2026 - 16:40

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Determine whether a polynomial is reducible over a finite field

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Lang undergraduate algebra about Galois theory

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Modulus Operation with Negative Numbers

Published on 09 Apr 2026 - 21:22

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Non-unital ring $(2\mathbb{Z})[X]$ is not Noetherian

Published on 17 Apr 2026 - 22:02

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How to prove $\det(AB)=\det(A)\det(B)$ using group theory? $A,B\in GL(n,R)$

Published on 11 Apr 2026 - 6:07

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Example of non-simple Banach algebra

Published on 16 Apr 2026 - 9:45

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Finding isomorphisms between quotient rings of polynomials

Published on 12 Apr 2026 - 17:01

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Generalization of the well-known commutator relation

Published on 17 Apr 2026 - 4:48

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Question about basis of free modules.

Published on 12 Apr 2026 - 7:59

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Exercise 2.44 Fulton's Algebraic Curves

Published on 16 Apr 2026 - 20:55

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Where does the Jordan canonical form show up in more advanced mathematics?

We have $f(x) \in R[x]$ and say that $(a+bi)$ is a zero. show that $(a-bi)$ is a zero.

Class hierarchy diagram for abstract algebra?

Comparing Two Rings $k[T]/(T^n)$ and $\mathbb{Z}/(p^n)$.

Clarifying the homomorphism's definition?

Determine whether a polynomial is reducible over a finite field

Lang undergraduate algebra about Galois theory

Modulus Operation with Negative Numbers

Non-unital ring $(2\mathbb{Z})[X]$ is not Noetherian

How to prove $\det(AB)=\det(A)\det(B)$ using group theory? $A,B\in GL(n,R)$

Example of non-simple Banach algebra

Finding isomorphisms between quotient rings of polynomials

Generalization of the well-known commutator relation

Question about basis of free modules.

Exercise 2.44 Fulton's Algebraic Curves

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