For which rings can elements be written as a finite product of irreducible elements?
49303
In a noetherian integral domain every non invertible element is a product of irreducible elements
116526
Finite ring has only zero divisors and units
68202
Must an ideal generated by an irreducible element be a maximal ideal?
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
107454
Why D/I is finite if I is a non-zero ideal of the ring of integers of a number field?
78053
There are at least three mutually non-isomorphic rings with $4$ elements?
87382
Non-invertible elements form an ideal
63568
Ring with finitely many zerodivisors
133738
Can a ring without a unit element have a subring with a unit element?
73702
What are examples of irreducible but not prime elements?
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
48009
Left inverse implies right inverse in a finite ring
155532
difference between irreducible element and irreducible polynomial
21538
Can a ring of positive characteristic have infinite number of elements?
69935
Field extensions of finite degree and primitive elements
83586
Finite fields and primitive elements
17378
Characterize finite dimensional algebras without nilpotent elements