Commutative algebra is the study of commutative rings, their ideals, and modules over those rings. It is a basic branch of mathematics that mathematics majors need to understand before moving onto fields such as physics and algebraic geometry. If you're having a hard time deciphering what all of those numbers in your notebook mean, Varsity Tutors can connect you with an experienced commutative algebra tutor to help unlock your academic potential.
Here are some of the concepts you can review during commutative algebra tutoring sessions:
- Polynomial Rings
- Schemes
- Noetherian Rings
- Hilbert's Basis Theorem
- Primary Decomposition
- Localization
- Completion
- Zariski Topology
Most of these concepts are foreign to anybody who hasn't studied mathematics since high school, but that's okay. Commutative algebra tutoring sessions can proceed according to your pace, so your tutor never leaves a concept behind without your approval. If you're struggling with a particular type of problem, your tutor may provide additional practice problems to help address it. Any questions you have can also be addressed in a timely manner, allowing you to seek extra help as soon as you need it. Working with a commutative algebra tutor also allows you to backtrack to material you previously studied. For example, you may struggle to comprehend commutative algebra without a solid understanding of pre-calculus. Your professor may not have the time to review the older material with you, but your tutor certainly can! Once you have a solid foundation in place, you may find that commutative algebra becomes easier than you remember.