Original sentence: Addition and multiplication are viewed as general operations, and their precise definitions lead to structures such as groups, rings and fields.Algebra is a branch of mathematics concerning the study of structure, relation, and quantity.Algebra is much broader than elementary algebra and can be generalized.Elementary algebra is often part of the curriculum in secondary education and provides an introduction to the basic ideas of algebra, including effects of adding and multiplying numbers, the concept of variables, definition of polynomials, along with factorization and determining their roots.In addition to working directly with numbers, algebra covers working with symbols, variables, and set elements
Edited sentence: Addition and multiplication can be generalised and their precise definitions lead to structures such as groups, rings and fields.Algebra is a branch of mathematics concerning the study of the rules of operations.Algebra is much broader than elementary algebra and studies what happens when different rules of operations are used and when rules of operations are devised for things other than numbers.Elementary algebra is often part of the curriculum in secondary education and introduces the concept of variables representing numbers.Statements based on these variables are manipulated using the rules of operations that apply to numbers, such as addition.This can be done for a variety of reasons, including equation solving