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What is the difference between algebra and Boolean algebra?

Algebra is a very broad topic covering all sorts of things, including Boolean algebra. Boolean algebra in itself is the study of a variable called "Boolean." This variable can only take two values: true and false. See 'related links' for more information.


What is the difference between abstract algebra and linear algebra?

Linear algebra concerns vector spaces whether finite- or infinite-dimensional. Abstract algebra, or modern algebra, includes linear algebra, along with many other kinds of objects, such as groups, rings, fields, lattices, and so on. In part, it was an attempt to put mathematics on a more rigorous footing. Please see the links.


Is algebra foundations 2 and algebra 1B the same thing?

Depends. Most of us would not know what "Algebra Foundations 2" or "Algebra 1B" are, since the name of such a course is probably determined by the school or local district. Compare the curricula of both courses to see if they are the same.


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What are the different types of 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 algebraNon-associative algebraLie algebraHopf algebraC*-algebraSymmetric algebraExterior algebraTensor algebraIn measure theory, Sigma-algebraAlgebra over a setIn category theory F-algebra and F-coalgebraT-algebraIn 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