Newbetuts
.
New posts in abstract-algebra
Interesting Property of $(\Bbb Z_n,+)$
abstract-algebra
group-theory
The torsion submodule of $\prod \mathbb{Z}_p$ is not a direct summand of $\prod \mathbb{Z}_p$
abstract-algebra
modules
Why is cofiniteness included in the definition of direct sum of submodules?
abstract-algebra
modules
Problem in the "proof" of Eisenstein's criterion on irreducibility.
abstract-algebra
ring-theory
irreducible-polynomials
Can we conclude that this group is cyclic? [duplicate]
abstract-algebra
group-theory
finite-groups
cyclic-groups
Frattini subgroup is set of nongenerators
abstract-algebra
group-theory
Why are there $12$ automorphisms of $\Bbb Z\oplus \Bbb Z_{3}$?
abstract-algebra
group-theory
finite-groups
abelian-groups
$L$ is an extension of $K$, if $L$ is a $K$-algebra
abstract-algebra
extension-field
Prove that $I \subseteq R$ is prime if and only if $R/I$ is an integral domain.
abstract-algebra
ring-theory
Prove that the tensor product of non algebraic extensions is not a field
abstract-algebra
field-theory
galois-theory
extension-field
tensor-products
A module is projective iff it has a projective basis
abstract-algebra
modules
projective-module
Understanding Serre-Chevalley relations
abstract-algebra
representation-theory
lie-groups
lie-algebras
$\exists x \in R$ and $\exists n \in\mathbb{N}$ such that $x^{n+1} = x^n \implies x^2 = x$
abstract-algebra
ring-theory
This polynomial has integer coefficient
abstract-algebra
polynomials
Characterization of nonabelian group $G$ such that for all $x,y\in G$, $xy\neq yx\implies x^2=y^2$.
abstract-algebra
group-theory
Normal extension of rational complex fields
abstract-algebra
galois-theory
Suppose R is a commutative ring, M is the maximum ideal of R, and R/M is not a field. Prove: (R/M)² = 0.
abstract-algebra
ring-theory
The root system of $sl(3,\mathbb C)$
abstract-algebra
matrices
lie-algebras
Characterize finite dimensional algebras without nilpotent elements
abstract-algebra
ring-theory
noncommutative-algebra
A sufficient condition for a domain to be Dedekind?
commutative-algebra
algebraic-number-theory
abstract-algebra
Prev
Next