Primary decomposition of an ideal (exercise 7.8 in Reid, Undergraduate Commutative Algebra)
91627
What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?
145594
Splitting of prime ideals in algebraic extensions
137450
Two-sided ideal generated by subset of not commutative ring
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
138882
A prime poset of ideals
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
99198
Principal ideal and free module
79460
Atiyah-Macdonald, Exercise 8.3: Artinian iff finite k-algebra.
93929
The height of a principal prime ideal
117786
Show that some monomial ideal is primary
54916
Maximal ideal in commutative ring
109688
Zero-dimensional ideals and finite-dimensional algebras
112043
Show that the ideal $ (2, 1 + \sqrt{-7} ) $ in $ \mathbb{Z} [\sqrt{-7} ] $ is not principal
146714
Rees algebra of a monomial ideal
61526
An exercise about nilpotent quotient groups
99715
Proper ideal and units proof
105913
Calculations in quotient rings