Concept in Definition ABC

It is known as algebra to the area of ​​the mathresponsable of the investigation of the structures, relations and quantities. In algebra and unlike arithmetic that does use numbers, they are replaced by symbols, for several reasons, firstly because this will make it easier to formulate general laws of arithmetic, for example a + b = b + a, second because it will allow you to refer to unknown numbers, formulate equations and study how to solve them and finally because symbols are more functional when formulating functional relationships, it is worth the redundancy.

On the other hand, algebraic structures are a set of elements that have different properties determined operational operations, meanwhile, what will define the structure are those operations that can be perform with the elements that make up said set and the mathematical properties that these operations they suppose. Among the most common algebraic structures we can mention: the group, ring, body, monoid, vector space, module, among others.

As we said above, algebra makes use of various signs and symbols which of course, within the algebraic context, will have a certain meaning. For example, the + sign expresses addition and is used to express binary operations, the first letters of the alphabet to express quantities known, while the last letters serve, on the contrary, to refer to the unknowns, the lyrics n is known to be used when you want to express any quantity and c or k to refer to constant terms, among others.