Newbetuts
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New posts in ring-theory
Show the direct sum of noetherian R-modules is noetherian.
abstract-algebra
ring-theory
modules
exact-sequence
direct-sum
If A is noetherian, then Spec(A) is noetherian
abstract-algebra
commutative-algebra
ring-theory
Sum of ideals in a ring
ring-theory
Invertibility of elements in a left Noetherian ring
abstract-algebra
ring-theory
noncommutative-algebra
Are minimal prime ideals in a graded ring graded?
algebraic-geometry
commutative-algebra
ring-theory
graded-rings
Nilpotent elements in $\mathbb{Z}_n$
abstract-algebra
ring-theory
commutative-algebra
For a field $K$, is there a way to prove that $K[x]$ is a PID without mentioning Euclidean domain?
abstract-algebra
ring-theory
Isomorphism of $S^1$.
abstract-algebra
complex-analysis
group-theory
ring-theory
Arithmetic structure including both unique factorization and Dedekind domains
abstract-algebra
ring-theory
integral-domain
unique-factorization-domains
dedekind-domain
To find all integers $n > 1$ for which $(n-1)!$ is a zero-divisor in $Z_n$.
abstract-algebra
ring-theory
Is the quotient of a complete ring, complete?
abstract-algebra
commutative-algebra
ring-theory
Primes in a Power series ring
abstract-algebra
number-theory
commutative-algebra
ring-theory
Symmetric and exterior powers of a projective (flat) module are projective (flat)
commutative-algebra
ring-theory
modules
multilinear-algebra
exterior-algebra
Integral extensions of rings, when one of the rings is a field
abstract-algebra
commutative-algebra
ring-theory
examples-counterexamples
Cosets modulo $(2+i)$ in $\mathbb{Z}[i]$
abstract-algebra
ring-theory
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
If a sub-C*-algebra does not contain the unit, is it contained in a proper ideal?
ring-theory
examples-counterexamples
c-star-algebras
Does $f(x) \in \mathbb{Z}[x]$ irreducible, imply $f(2x)$ also irreducible?
abstract-algebra
functions
polynomials
ring-theory
irreducible-polynomials
Examples of non-Euclidean domains which have a universal side divisor
abstract-algebra
ring-theory
algebraic-number-theory
examples-counterexamples
Characteristic of an integral domain must be either $0$ or a prime number.
abstract-algebra
ring-theory
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