Commutative algebra and algebraic geometry are two intertwined fields ... offering simpler proofs and enhancing the foundational knowledge in commutative algebra[5]. This ongoing research ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

Character varieties and moduli spaces are fundamental concepts in algebraic geometry that study the representations of algebraic structures, particularly groups, and their geometric properties.