List questions from abstract-algebra

Published on 11 May 2026 - 6:50

259

Views

Describe the quotient ring $F[x]/(x^3-x-1)$.

Published on 15 Apr 2026 - 18:21

172

Views

If $S=\{a \in \mathbb{R^+}: a \ne1\}$ with binary operation * defined by $a*b=a^{\ln(b)}$. What is the inverse of $a$?

Published on 16 Apr 2026 - 1:13

81

Views

Figuring out a group in a short exact sequence

Published on 10 May 2026 - 15:44

65

Views

Let $V$ be a 0-dimensional variety. If $Z$ is a proper closed subset of $V$, then $Z$ is discrete?

Published on 17 Apr 2026 - 13:02

606

Views

Homomorphisms from p-adic units to the multiplicative cyclic groups

Published on 11 May 2026 - 3:24

165

Views

Derivatives for non Real/Complex functions

Published on 13 May 2026 - 1:03

109

Views

Proving Cardinality of Cosets in Abstract Algebra

Published on 10 May 2026 - 20:53

73

Views

Why does $\Bbb Z[{1+\sqrt{-19}\over 2}]$ contain $1$?

Published on 17 Apr 2026 - 4:59

423

Views

What are the units of $\Bbb R[X]/(X^2)$?

Published on 14 Apr 2026 - 4:03

99

Views

$G'$ is the smallest normal subgroup of $G=\langle K\rangle$ that contains $[K,K]$.

Published on 10 May 2026 - 16:35

871

Views

$I$-adic completion of an exact sequence of finite $A$-modules is again exact

Published on 14 Apr 2026 - 21:21

1.6k

Views

Examples of interesting rings to study during an undergraduate course in non-commutative rings.

Published on 12 Apr 2026 - 14:17

64

Views

Computing the number of irreducible polynomials in a field

Published on 16 Apr 2026 - 11:13

124

Views

Order element of a quotient group

Published on 10 May 2026 - 16:32

List Question

Quotient ring is a field

Describe the quotient ring $F[x]/(x^3-x-1)$.

If $S=\{a \in \mathbb{R^+}: a \ne1\}$ with binary operation * defined by $a*b=a^{\ln(b)}$. What is the inverse of $a$?

Figuring out a group in a short exact sequence

Let $V$ be a 0-dimensional variety. If $Z$ is a proper closed subset of $V$, then $Z$ is discrete?

Homomorphisms from p-adic units to the multiplicative cyclic groups

Derivatives for non Real/Complex functions

Proving Cardinality of Cosets in Abstract Algebra

Why does $\Bbb Z[{1+\sqrt{-19}\over 2}]$ contain $1$?

What are the units of $\Bbb R[X]/(X^2)$?

$G'$ is the smallest normal subgroup of $G=\langle K\rangle$ that contains $[K,K]$.

$I$-adic completion of an exact sequence of finite $A$-modules is again exact

Examples of interesting rings to study during an undergraduate course in non-commutative rings.

Computing the number of irreducible polynomials in a field

Order element of a quotient group

Trending Questions

Popular # Hahtags

Popular Questions