Understanding the definition of a local ring.
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$
146289
What exactly are the elements of a local homology group?
1425
The Chinese Remainder Theorem for Rings.
143051
Inverting noninvertible elements in a bigger ring.
129858
"Almost" ring homomorphism
10215
Differentiable manifolds as locally ringed spaces
46303
Example of a non-Noetherian complete local ring
100961
Ideals in valuation rings
138383
group of units in a topological ring
85961
Is the ring and semi-ring definition of algebra and set linked?
71296
Problem with Jacobian criterion and regular local ring
57732
Rings of fractions and homomorphisms
79041
What is the formal definition of polynomial ring of several variables?
46843
A ring without the Invariant Basis Number property
17247
Localisation and prime ideals
154613
Showing a set of fractions is a ring
148804
Norm-Euclidean rings?