of, occurring in, or utilizing algebra.
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.
using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application.
Also, algebraical.

1655–65; algebra + -ic

algebraically, adverb
nonalgebraic, adjective
nonalgebraical, adjective
nonalgebraically, adverb
prealgebraic, adjective
subalgebraic, adjective
subalgebraical, adjective
subalgebraically, adverb
unalgebraical, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
algebraic or algebraical (ˌældʒɪˈbreɪɪk)
1.  of or relating to algebra: an algebraic expression
2.  using or relating to finite numbers, operations, or relationships
algebraical or algebraical
algebraically or algebraical

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1660s, from algebra. Earlier was algebraical (1570s).
Online Etymology Dictionary, © 2010 Douglas Harper
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Computing Dictionary

ALGEBRAIC definition

An early system on MIT's Whirlwind.
[CACM 2(5):16 (May 1959)].

algebraic definition

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.
The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
Figure out what match students need in order to understand the algebraic and
  statistical tools they will need as freshmen.
Her research made advances in symbolic computation and algebraic algorithms,
  including ideas that can be used in cryptography.
How many people looked at an algebraic curve and did not work out how to take
  the slope of that line.
And one can describe it in words, but by doing so one removes its algebraic
  utility and clear precision of communication.
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