General element of completion of a ring
5084
When is the completion of a ring a local ring ?
91294
order of quotient ring
67944
Nilpotent Elements and Intersection of Prime Ideals
110984
Ideals and prime ideals in a commutative ring.
16945
Finding the Ideals of a Direct Product of Rings
107821
The ring of integers of $\mathbf{Q}[i]$
39576
Quotient ring being isomorphic to the initial ring
41398
For a ring $R$, does $\operatorname{End}_R(R)\cong R^{\mathrm{op}}$?
46843
A ring without the Invariant Basis Number property
27766
Comaximal ideals in a commutative ring
15320
Morita equivalence and right and left ideals of a Ring
5802
Proving the universal mapping property for polynomial rings
98818
Quotient ring of a localization of a ring
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals
61429
Is the algebraic closure of a $p$-adic field complete
103830
Each element of a ring is either a unit or a nilpotent element iff the ring has a unique prime ideal
38571
Localization of a total quotient ring of a reduced ring