What is A in algebra?
Different types of Algebra are: Algebra over a field or more generally algebra over a ring. Many classes of algebras over a field or over a ring have a specific name: Associative algebra Non-associative algebra Lie algebra Hopf algebra C*-algebra Symmetric algebra Exterior algebra Tensor algebra In measure theory, Sigma-algebra Algebra over a set In category theory F-algebra and F-coalgebra T-algebra In logic, Relational algebra: a set of finitary relations that is closed under certain operators. Boolean algebra, a structure abstracting the computation with the truth values false and true. See also Boolean algebra (structure). Heyting algebra
Jerome E. Kaufmann has written: 'Mathematics is ..' -- subject(s): Mathematics 'Intermediate algebra for college students' -- subject(s): Algebra 'College algebra' -- subject(s): Algebra, Textbooks 'Algebra for college students' -- subject(s): Textbooks, Algebra 'Intermediate algebra' -- subject(s): Textbooks, Algebra 'Elementary algebra' -- subject(s): Algebra 'Elementary algebra' -- subject(s): Textbooks, Algebra 'College algebra and trigonometry' -- subject(s): Trigonometry, Algebra 'The many facets of mathematics' -- subject(s): Mathematics 'College algebra' -- subject(s): Algebra 'Precalculus' -- subject(s): Trigonometry, Analytic Geometry, Algebra 'Elementary and intermediate algebra' -- subject(s): Algebra, Textbooks
Advanced algebra or College Algebra is the Algebra that comes after Algebra 2. Its essentially algebra II but digs deeper in each section. If I remember correctly, I had to graph almost everything and or find its domain and range. Advanced Algebra deals with polynomial functions and their graph, geometric and arithmetic sequences, conics, logarithms, systems of three equations, an introduction to matrix algebra, exponential functions, and the binomial theorem. Advanced Algebra should not be confused with Algebra I(beginning algebra) or Algebra II(intermediate Algebra).
Pre-algebra is essentially the basics of algebra. Algebra can be tough for many, so as a way to break the ice, you (ussually) take a pre-algebra course before algebra itself. Algebra is a very large subject, spanning multiple years of courses in most (if not all) schools. After pre-algebra, you have to work with many algebraic equations in the later courses, which cannot be understood without learning the basics that are taught in pre-algebra.