New posts in Ring Theory

Is this quotient ring finite?

When does $f,g \in R[x]$ relatively prime imply $f,g \in R[[x]]$ relatively prime.

Cancellation law in a ring without unity

Proving properties of rings

Understanding the Proof that Algebraic Integers are a Subring of $\Bbb{C}$

Why does the characteristic of a finite field always have to be prime?

Show if an abelian group $G$ has a $\mathbb Q$-vector space structure, then it is unique.

$\mathfrak p$ be a prime ideal of a commutative ring $R$ , then $R_\mathfrak p/\mathfrak pR_\mathfrak p$ is the field of fractions of $R/\mathfrak p$?

Example of an integral domain which is not a field

Endomorphism Rings of finite length Modules are semiprimary