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New posts in abstract-algebra
infinite monoid H that is not a free monoid and contains a free monoid as a submonoid [closed]
abstract-algebra
semigroups
monoid
Compactly generated $\mathbb Z_p$-submodules of $\mathbb Z_p[[x]]$
abstract-algebra
p-adic-number-theory
The order of a conjugacy class is bounded by the index of the center
abstract-algebra
group-theory
group-actions
Is $O_n$ isomorphic to $SO_n \times \{\pm I\}$?
linear-algebra
abstract-algebra
group-theory
orthogonal-matrices
Primes in a Power series ring
abstract-algebra
number-theory
commutative-algebra
ring-theory
Integral extensions of rings, when one of the rings is a field
abstract-algebra
commutative-algebra
ring-theory
examples-counterexamples
Decomposition of finitely-generated abelian group
abstract-algebra
group-theory
sylow-theory
Cosets modulo $(2+i)$ in $\mathbb{Z}[i]$
abstract-algebra
ring-theory
Proving a Certain $\mathbb{C}$-Algebra is a Domain Using a Specified Method
abstract-algebra
commutative-algebra
integral-domain
unique-factorization-domains
Tensor product between quaternions and complex numbers.
abstract-algebra
Prove that $M$ is a free module if and only if $M$ is a projective module over $PID$.
abstract-algebra
ring-theory
modules
principal-ideal-domains
projective-module
Order of Double Coset
abstract-algebra
group-theory
finite-groups
Prove $G$ is abelian if $f(f(x)) = x$?
abstract-algebra
group-theory
finite-groups
abelian-groups
Largest symmetric group contained in alternating group
abstract-algebra
group-theory
finite-groups
permutations
Aluffi, Exercise 2.12, regarding the cokernel in $\sf{Ring}$ of $\mathbb{Z} \hookrightarrow \mathbb{Q}$
abstract-algebra
category-theory
Partition of $\mathbb{R}^+$ into two semigroups
abstract-algebra
set-theory
semigroups
Does $f(x) \in \mathbb{Z}[x]$ irreducible, imply $f(2x)$ also irreducible?
abstract-algebra
functions
polynomials
ring-theory
irreducible-polynomials
Finding a common factor of two coprime polynomials
abstract-algebra
number-theory
polynomials
gcd-and-lcm
Examples of non-Euclidean domains which have a universal side divisor
abstract-algebra
ring-theory
algebraic-number-theory
examples-counterexamples
Non-trivial nilpotent group has non-trivial center
abstract-algebra
group-theory
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