Home Quiz Have an Interesting Quiz on "Commutative Algebra"
Preview (10 questions)
1 Question
30 secondi fa
Q.


Who is the father of commutative algebra?



David Hilbert

Aryabhata

Archimedes

Hypatia
2 Question
30 secondi fa
Q.


What is the ordinary integer for commutative algebra?


β

Z

α

N
3 Question
30 secondi fa
Q.


Describe p-adic integers in commutative algebra.



The set of formal power series an + ap + a2np2 + ... + an^-1pn + ...

The set of formal power series a + ap + ap2 + ... + apn + ...

The set of formal power series a0 + a1p + a2p2 + ... + anpn +

The set of formal power series 0 + 1p + 2p2 + ... + npn + ...
4 Question
30 secondi fa
Q.


What is meant by localization in an algebraic ring?



A formal way to introduce the "divisor" of a given ring

A formal way to introduce the "numerator" to a given ring

A formal way to introduce the "fractions" to a given ring

A formal way to introduce the "denominators" to a given ring

5 Question
30 secondi fa
Q.


Where is commutative algebra used?



String theory

Morse's Theorem

Game Theory

Brower Fixed Point theorem
6 Question
30 secondi fa
Q.


What is the symbolic representation of commutative algebra?





-a + b = b - a and ab = ba.

a + b = b + a and ab = ba

a - b = b + a and ab = -ba.

a + b = b - a and -ab = ba.
7 Question
30 secondi fa
Q.


What are the two operations of commutative algebra?



Division and Addition

Statistics and Statics

Addition and multiplication

Multiplication and probability
8 Question
30 secondi fa
Q.


Which two operations are not commutative algebra?



Subtraction and Addition

Ascending and Descending

Multiplication and Acute

Subtraction and Division
9 Question
30 secondi fa
Q.


For which field commutative algebra is used as a main technical tool?



Algebraic geometry

Algebraic number theory

B only

A and B
10 Question
30 secondi fa
Q.


Which theorem is known as the single most important foundational theorem in commutative algebra?



Nakayama's lemma

Noetherian rings

Krull's principal ideal theorem

Lasker–Noether theorem