GRE Subject 2026 Practice Test Maths Abstract Algebra Free Quiz 2

11. What is a prime ideal?

A. Maximal B. Prime C. Minimal D. Principal

12. What is the quotient ring R/I?

A. Subgroup B. Field C. Quotient ring D. Module

13. What is a module?

A. Field B. Module C. Group D. Algebra

14. What is an algebra?

A. Algebra B. Ring C. Field D. Group

15. What is a polynomial ring?

A. Field B. Group C. Polynomial ring D. Module

16. What theory relates field extensions to groups?

A. Algebra B. Number theory C. Topology D. Galois theory

17. What is the degree of a field extension?

A. Index B. Order C. Degree D. Rank

18. What is a finite field?

A. Prime B. Power of 2 C. Composite D. Prime power

19. What is the characteristic of a field?

A. Order B. Characteristic C. Degree D. Index

20. What is the algebraic closure of a field?

A. Algebraic closure B. Splitting field C. Extension D. Algebraic extension