| 1. | of, occurring in, or utilizing algebra. |
| 2. | Mathematics. of or pertaining to an element that is the root of a polynomial equation with coefficients from some given field: is algebraic over the field of real numbers. |
| 3. | using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application. |
algebraic theory
In domain theory, a complete partial order is algebraic if every element is the least upper bound of some chain of compact elements. If the set of compact elements is countable it is called omega-algebraic.
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(1995-04-25)