a question of element commutative algebra
53801
Why are powers of coprime ideals are coprime?
146231
Let X be a set with an associative binary operation ◦ with identity e. Suppose every element of X satisﬁes x ◦ x = e. Prove that ◦ is commutative.
109688
Zero-dimensional ideals and finite-dimensional algebras
14191
How many elements does the ring $ℤ[X]/(X^2-3,2X-4)$ have? Describe the structure of this ring.
41731
Question about the order of the product of two elements in an abelian group
587
Ideal Generated by the Union of Two Ideals
67990
Commutativity of matrix and its transpose
92962
Rings with $a^5=a$ are commutative
45523
Can the product of two non invertible elements in a ring be invertible?
48537
If $\forall x \in R, x^2-x \in Z(G)$, than $R$ is commutative
108742
Proving commutativity of addition for vector spaces
147157
Modules over commutative rings
54916
Maximal ideal in commutative ring
83115
A set of elements in a reduced unity ring
18971
Show that a ring is commutative if it has the property that ab = ca implies b = c when $a\neq 0$
11573
Rings and some of their properties
138670
If product of finite elements in a ring is a unit then can we say each element as unit