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New posts in abstract-algebra
What is the algebraic closure of $\mathbb F_q$?
abstract-algebra
field-theory
finite-fields
When does a formula for the roots of a polynomial exist?
abstract-algebra
polynomials
galois-theory
solvable-groups
Show that there is no subgroup of $S_n$ of order $(n-1)!/n$.
abstract-algebra
group-theory
permutations
symmetric-groups
Is this module free?
abstract-algebra
modules
The number of esquares of idempotents in the rank 2 $\mathcal{D}$-class of $M_n(\mathbb{Z}_2)$.
linear-algebra
abstract-algebra
combinatorics
semigroups
idempotents
Is every submodule of cyclic module over PID cyclic?
abstract-algebra
modules
Checking if given polynomials are units in $\mathbb{Z}_7[x]$ [duplicate]
abstract-algebra
polynomials
ring-theory
commutative-algebra
How do I find $a,b\in\mathbb{Z}$ s.t. $\{ac-bd+i(ad+bc)\mid c, d\in\mathbb{Z}\}$ have real and imaginary parts both even or both odd?
abstract-algebra
elementary-number-theory
gaussian-integers
Splitting field of $x^6+x^3+1$ over $\mathbb{Q}$
abstract-algebra
field-theory
Intuition Behind Homomorphisms of Representations
abstract-algebra
representation-theory
Group with more than one element and with no proper, nontrivial sub groups must have prime order.
abstract-algebra
Splitting in Short exact sequence
abstract-algebra
group-extensions
When are the product of cyclic groups also cyclic? [duplicate]
abstract-algebra
group-theory
cyclic-groups
Compute the (multiplicative) inverse of $4x+3$ in the field $\frac {\Bbb F_{11}[x]}{\langle x^2+1 \rangle}$?
abstract-algebra
ring-theory
proof-verification
quotient-spaces
Coordinate ring of the unit circle is never a UFD?
abstract-algebra
commutative-algebra
algebraic-curves
unique-factorization-domains
Prove that $R[x]$ is an integral domain if and only if $R$ is an integral domain. [duplicate]
abstract-algebra
ring-theory
integral-domain
polynomial-rings
Galois over Galois
abstract-algebra
galois-theory
Is localization of a henselian ring still henselian?
abstract-algebra
How is $\mathrm{PGL}(V)$ a subgroup of $\mathrm{P\Gamma L}(V)$?
linear-algebra
abstract-algebra
group-theory
permutations
linear-groups
Extending Herstein's Challenging Exercise to Modules
abstract-algebra
group-theory
commutative-algebra
examples-counterexamples
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