Is it possible to extend a commutative ring to have a unity?
51590
For any rng $R$, can we attach a unity?
70320
Let $R$ be a commutative Noetherian ring (with unity), and let $I$ be an ideal of $R$ such that $R/I \cong R$. Then is $I=(0)$?
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
109039
Does this "extension property" for polynomial rings satisfy a universal property?
63338
Noncommutative failure of IBN: $\,R^n\cong R^m \Rightarrow n - m,$ ring $R$ with maximal ideal $I$ such that $R/I$ is not a division ring?
63192
A chain ring with Krull dimension greater than one
147157
Modules over commutative rings
143884
A non-noetherian ring with noetherian spectrum
80088
What possible characteristics may a local commutative unital ring have?
11541
Examples of a non-commutative division ring
110984
Ideals and prime ideals in a commutative ring.
92420
Characteristic of  a Non-unital Integral Ring
17895
Let $R$ be a commutative ring with 1 then why does $a\in N(R) \Rightarrow 1+a\in U(R)$?
25260
Extension of a morphism $k^*\rightarrow X$ to $\mathbb{P}^1\rightarrow \overline{X}$
111679
Example of a ring without unity that has a subring with unity?
24247
Ring Inside an Algebraic Field Extension
22890
Is it coherent to extend $\mathbb{R}$ with a reciprocal of $0$?