a.  1.  Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings; algebraic geometry.  
2.  progressing by constant multiplicatory factors;  of a series of numbers. Contrasted to

Adj.  1.  algebraic  of or relating to algebra; "algebraic geometry" Synonyms: algebraical 
1.  (language)  ALGEBRAIC  An early system on MIT's Whirlwind. [CACM 2(5):16 (May 1959)].  
2.  (theory)  algebraic  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 omegaalgebraic. 