| [Member (365WT)]answers [Chinese ] | Time :2019-10-16 | Abstract algebra, as a discipline of mathematics, is mainly composed of algebraic structures such as groups, rings, domains, modules, vector spaces and algebras. Some of these algebraic structures have been officially defined in the 19th century. In fact, the study of abstract algebra has been developed in response to the stricter requirements of mathematics. The study of abstract algebra has also led to the formation of a general understanding of the fundamental logic assumptions of all mathematics and natural sciences. Nowadays, there is hardly a branch of mathematics that does not use algebra. In addition, with the development of abstract algebra, algebraists have discovered that a distinctly different logical structure can obtain a very concise core of axioms by analogy..This is useful for mathematicians who study algebra in depth and give them greater skills...
The term "abstract algebra" is used to distinguish it from "primary algebra," which teaches the operation of formulas and algebraic expressions, including real numbers, complex numbers, and unknowns. At the beginning of the 20th century, abstract algebra was sometimes called modern algebra, near-generation algebra.
The term algebraic algebra is sometimes used in ubiquitous algebra, but most of the authors simply call it "algebra." |
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