Newbetuts
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New posts in abstract-algebra
Do adjoint functors really define monads?
abstract-algebra
category-theory
monads
Orthogonal complement in a finite field ${\mathbb Z}^{n}_{q}$
linear-algebra
abstract-algebra
vector-spaces
The angle $168^\circ$ is constructible
abstract-algebra
field-theory
galois-theory
contest-math
euclidean-geometry
Profinite topology of a Group
abstract-algebra
general-topology
group-theory
topological-groups
profinite-groups
Tensor product of two finitely generated modules
abstract-algebra
commutative-algebra
modules
tensor-products
finitely-generated
Groups of order $pq$ have a proper normal subgroup
abstract-algebra
group-theory
finite-groups
Showing an ideal is prime in polynomial ring
abstract-algebra
algebraic-geometry
commutative-algebra
ideals
Need isomorphism theorem intuition
abstract-algebra
group-isomorphism
Techniques for showing that a subgroup is not normal
linear-algebra
abstract-algebra
matrices
group-theory
linear-groups
Commutativity of a ring from idempotents. [closed]
abstract-algebra
ring-theory
commutative-algebra
idempotents
Intuitive meaning of transitive action
abstract-algebra
Gcd and lcm of $a_1, a_2, \dots,a_n$ exist in $R$ when $R$ is a UFD.
abstract-algebra
ring-theory
euclidean-algorithm
Am I computing the centralizer of $(1, 2, 3)$ in $A_4$ correctly?
abstract-algebra
group-theory
solution-verification
permutations
A group of order $30$ has a normal $5$-Sylow subgroup.
abstract-algebra
group-theory
finite-groups
sylow-theory
Modules which are isomorphic to their tensor product.
abstract-algebra
commutative-algebra
modules
projective-module
Is it true, that for any two non-isomorphic finite groups $G$ and $H$ there exists such a group word $w$, that $|V_w(G)| \neq |V_w(H)|$?
abstract-algebra
group-theory
finite-groups
universal-algebra
verbal-subgroups
Nilradical of absolutely flat ring
abstract-algebra
commutative-algebra
solution-verification
Every nonabelian group of order 6 has a non-normal subgroup of order 2 (revisited)
abstract-algebra
group-theory
What's stopping us from defining isomorphism in general?
abstract-algebra
Rotate Quaternion A by 180 degrees
abstract-algebra
quaternions
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