Newbetuts
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New posts in ring-theory
Show that $A[X]/(aX+b)$ is an integral domain
abstract-algebra
polynomials
ring-theory
divisibility
integral-domain
Is $\Bbb Z[\sqrt{6}]$ a UFD?
abstract-algebra
ring-theory
algebraic-number-theory
The infinite Direct Sum in the category Ring
abstract-algebra
reference-request
ring-theory
category-theory
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
abstract-algebra
ring-theory
proof-verification
Books for a thorough introduction to ring theory?
ring-theory
reference-request
book-recommendation
Failure of existence of GCD
ring-theory
ideals
order-theory
gcd-and-lcm
Decomposition of a homogeneous polynomial
polynomials
ring-theory
commutative-algebra
graded-rings
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
abstract-algebra
ring-theory
irreducible-polynomials
Issues with ideals
abstract-algebra
ring-theory
polynomial-rings
Ring homomorphism proof [duplicate]
abstract-algebra
ring-theory
The support of a non finitely generated module
commutative-algebra
ring-theory
modules
Let $R$ be a commutative ring. If $R[X]$ is a principal ideal domain, then $R$ is a field.
abstract-algebra
ring-theory
principal-ideal-domains
Proving $\pi$ is irreducible/prime in $R.$
abstract-algebra
ring-theory
ideals
maximal-and-prime-ideals
algebraic-groups
If $R$ is a local ring, is $R[[x]]$ (the ring of formal power series) also a local ring?
abstract-algebra
ring-theory
Multiplicative inverse of $0$
abstract-algebra
ring-theory
inverse
Prove that ring contains infinitely many minimal prime ideals
abstract-algebra
polynomials
ring-theory
ideals
Generalization of Cayley-Hamilton
linear-algebra
commutative-algebra
ring-theory
modules
Ideal of $\mathbb{C}[x,y]$ not generated by two elements
abstract-algebra
polynomials
ring-theory
commutative-algebra
ideals
Non-UFD integral domain such that prime is equivalent to irreducible?
abstract-algebra
commutative-algebra
ring-theory
Finite rings without zero divisors are division rings.
abstract-algebra
ring-theory
noncommutative-algebra
finite-rings
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