Difference between revisions of "Abstract algebra"
m (Reverted edits by Sallyburkhalter (talk) to last revision by Jpatt) |
AlChesapeake (talk | contribs) (Expanded definition with more detail. see Talk section for change discussion) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
| − | '''Abstract algebra''' is a branch of [[ | + | '''Abstract algebra''' is a branch of [[algebra]] that generalizes elementary algebra to include various algebraic structures. An algebraic structure is a combination of a [[set]] with one or more operations. Algebraic structures include groups (see [[group theory]]), fields, and rings amongst others. For example, elementary algebra (see [[algebra]]) is an algebraic structure consisting of the set of [[complex numbers]] with various operations, such as addition, multiplication, logarithms, etc.<ref>Pinter, Charles; A Book of Abstract Algebra, Second Edition; 1990. See [http://www2.math.umd.edu/~jcohen/402/Pinter%20Algebra.pdf]</ref> |
| − | [[ | + | |
| + | ==Notes and references== | ||
| + | <references/> | ||
| + | [[Category:Algebra]] | ||
Latest revision as of 00:04, September 7, 2021
Abstract algebra is a branch of algebra that generalizes elementary algebra to include various algebraic structures. An algebraic structure is a combination of a set with one or more operations. Algebraic structures include groups (see group theory), fields, and rings amongst others. For example, elementary algebra (see algebra) is an algebraic structure consisting of the set of complex numbers with various operations, such as addition, multiplication, logarithms, etc.[1]