# Commutative algebra Questions and Answers

Recent questions in Commutative Algebra
Dillard 2020-11-14

### Prove the commutative properties of the convolution integral f * g = g * f

sagnuhh 2020-11-08

### All idempotent elements in a commutative H ring with a characteristic 2 Check if they are creating a sub-ring. ($a\in H$ idempotent $⇔{a}^{2}=a$)

lwfrgin 2020-11-08

### Suppose that a and b belong to a commutative ring and ab is a zero-divisor. Show that either a or b is a zero-divisor.

emancipezN 2020-11-02

### Let R be a commutative ring with identity and let I be a proper ideal of R. proe that $\frac{R}{I}$ is a commutative ring with identity.

Cabiolab 2020-10-27

### True or False: For $n×n$ matrices A and B, define $A\otimes B=AB-BA$. The operator ox is not associative or commutative.

nicekikah 2020-10-20

### Let $A=\left\{a,b,c,d\right\}$ 1. Find all combinatorial lines in ${A}^{2}$. How many combinatorial lines are there? 2. Let n in $\mathbb{N}$. Prove that the number of combinatorial lines in ${A}^{n}$ equals ${5}^{n}-{4}^{n}$

Annette Arroyo 2020-10-20

### If a is an idempotent in a commutative ring, show that $1-a$ is also an idempotent.

foass77W 2020-10-19

### Show that a ring is commutative if it has the property that ab = ca implies b = c when $a\ne 0$.

In basic terms, commutative algebra represents a complex study of the rings that take place in algebraic number theory. It also relates to solving problems and questions based on algebraic geometry. You will see that there are solutions related to Dedekind rings and various commutative patterns. Commutative algebra solutions will be quite short in most cases, yet one should start with examples that are represented and link them with various questions. Take your time to post your commutative algebra example problem as well and always compare your question to similar questions as it will help you provide the required data. When you are dealing with inequality and graph solution tasks as you are seeking commutative equ