Ideal commutative rings
43020
If $I+J=R$, where $R$ is a commutative rng, prove that $IJ=I\cap J$.
80088
What possible characteristics may a local commutative unital ring have?
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals
121255
Ideals of the ring of rational numbers with odd denominators
118513
Ideal of product of affine varieties
92822
Finite number of elements generating the unit ideal of a commutative ring
142863
Show that every ideal of the matrix ring $M_n(R)$ is of the form $M_n(I)$ where $I$ is an ideal of $R$
151794
Can an ideal in a commutative integral domain be its own square?
47134
Ideals generated by two elements
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
52966
Rings, ideals and units-proof
587
Ideal Generated by the Union of Two Ideals
1719
Ideals in the ring of Gaussian integers
58425
Defining the Product of Ideals
31585
Primary ideals of $\mathbb{Z}$
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
135699
Questions about a commutative ring with exactly three ideals