algebraic
Let be a ring with a subring . An element is algebraic over if there exist elements , with , such that
An element is transcendental over if it is not algebraic.
The ring is algebraic over if every element of is algebraic over .
Title | algebraic |
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Canonical name | Algebraic1 |
Date of creation | 2013-03-22 12:07:50 |
Last modified on | 2013-03-22 12:07:50 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 8 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 13B02 |
Related topic | AlgebraicExtension |
Defines | transcendental |