why zero dimensional reduced ring are Von Neumann Regular?
34008
If a commutative ring is semiprime and its prime ideals are maximal then it is von Neumann regular (absolutely flat).
133495
Example of a ring without Invariant Basis Property
38571
Localization of a total quotient ring of a reduced ring
153210
Why is every Noetherian zero-dimensional scheme finite discrete?
109688
Zero-dimensional ideals and finite-dimensional algebras
85987
Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
52621
Why is $\det(A - \lambda I)$ zero?
23641
Quotient ring of field is zero or itself.
129258
Why do the Localization of a Ring
11573
Rings and some of their properties
83483
Is there a nice way to classify the ideals of the ring of lower triangular matrices?
46843
A ring without the Invariant Basis Number property
40154
Finding the dimension of real symmetric matrices with trace zero
74259
Why is the localization of a commutative Noetherian ring still Noetherian?
67633
Generic flatness on modules
63192
A chain ring with Krull dimension greater than one