Algebra is one of the main branches of mathematics (along with geometry and analysis) encompassing the following areas of study:

• Elementary algebra — symbolic arithmetic and its application to solving equations
• Intermediate algebra — first study of functions, relations and graphs
• Abstract algebra — axiomatic study of algebraic structures such as groups, rings and fields
• Linear algebra — vectors, tensors and matrices
• Universal algebra — study of characteristics common to all of the above

An algebra is generally a mathematical space that obeys certain properties. This includes:

• Algebra over a field (and associative algebra)
• Algebra over a commutative ring
• Algebra over a set (and sigma algebra)

• Boolean algebra

• Also an algebra is a vector space with a multiplication inter vectors. Here, belongs the famous Lie's algebras

External linksEdit

• Wikipedia:Algebra (disambiguation)