Newbetuts
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New posts in ring-theory
Looking for a special class of ideals such that If every ascending chain of ideals from this class stabilizes, then $R$ is a Noetherian ring.
algebraic-geometry
ring-theory
commutative-algebra
ideals
noetherian
A problem of central simple algebras: why $(E,s,\gamma)\cong M_n(F)$ only if $\gamma$ is the norm of an element of $E$?
abstract-algebra
ring-theory
representation-theory
noncommutative-algebra
semi-simple-rings
Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?
abstract-algebra
polynomials
ring-theory
irreducible-polynomials
Ideals and filters
abstract-algebra
ring-theory
order-theory
Why is the polynomial ring of more than one variable not a PID?
polynomials
ring-theory
principal-ideal-domains
Module generated by $n$ elements, containing $n+1$ independent elements
ring-theory
modules
Could one make a ring of matrices of uncountable size?
matrices
ring-theory
Is there an algebraic non-rational extension of the integers, whose set of prime elements contains the prime integers?
abstract-algebra
ring-theory
commutative-algebra
prime-numbers
Prime/maximal ideals of $\mathbb{C}[x, y]$ containing a given ideal
abstract-algebra
ring-theory
ideals
Intuition for ideal quotient / colon ideal?
ring-theory
commutative-algebra
ideals
Why does this ring have rank $k!$?
abstract-algebra
ring-theory
modules
tensor-products
find total number of maximal ideals in $\mathbb{Q}[x]/\langle x^4-1\rangle$.
abstract-algebra
proof-verification
ring-theory
field-theory
Why is axiom of choice needed? (Equivalent conditions for Noetherian)
ring-theory
modules
Minimal spectrum of a commutative ring
commutative-algebra
ring-theory
noncommutative-geometry
Ring homomorphisms which yield same endomorphisms on modules
abstract-algebra
ring-theory
modules
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
abstract-algebra
ring-theory
commutative-algebra
integral-domain
Must a ring homomorphism between $\mathbb Z_p$-algebras be a $\mathbb Z_p$-algebra homomorphism?
abstract-algebra
ring-theory
p-adic-number-theory
A Noetherian integral domain is a UFD iff $(f):(g)$ is principal
abstract-algebra
ring-theory
noetherian
unique-factorization-domains
Can non-isomorphic abelian groups have isomorphic endomorphism rings?
ring-theory
algebras
Is Kaplansky's theorem for hereditary rings a characterization?
abstract-algebra
ring-theory
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