New posts in Ideals

Gaussian Integers form an Euclidean Ring

$(x,y)\subset \mathbb Q[x,y]$ is not a principal ideal

How is the quotient of two ideals defined?

Show that the ideal generated by two polynomials is actually equivalent to the ideal generated by a single polynomial

If a commutative ring with unity $R$ has an ideal $I$ such that $R/I$ is infinite, then does there exist a maximal such ideal?

Ideal in a Noetherian ring which is not equal to a product of prime ideals

Can ring homomorphisms be characterized as ring maps such that preimage of any ideal is an ideal?

Quotient of a quotient ring

An example of a non-commutative ring with multiplicative identity 1 in which the only (two sided) ideals are 0 and the whole ring

Ideal Generated by a Finite Number of Polynomials?