Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 adjective Of, relating to, or designating algebra.
 adjective Designating an expression, equation, or function in which only numbers, letters, and arithmetic operations are contained or used.
 adjective Indicating or restricted to a finite number of operations involving algebra.
from The Century Dictionary.
 Pertaining to algebra.
 Involving no operations except addition, subtraction, multiplication, division, and the raising of quantities to powers whose exponents are commensurable quantities: as, an algebraic equation or expression.
 Relating to the system of quantity which extends indefinitely below as well as above zero.
from the GNU version of the Collaborative International Dictionary of English.
 adjective Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation
 adjective progressing by constant multiplicatory factors;  of a series of numbers. Contrasted to
arithmetical .  adjective a curve such that the equation which expresses the relation between the coördinates of its points involves only the ordinary operations of algebra;  opposed to a
transcendental curve .
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 adjective Of, or relating to,
algebra .  adjective mathematics Containing only
numbers ,letters , andarithmetic operators .  adjective mathematics, number theory (said of a number) Which is a
root of somepolynomial whosecoefficients arerational .  adjective chess Describing
squares byfile (referred to in intrinsicorder rather than by the piece starting on that file) andrank , both with reference to a fixed point rather than a playerdependent perspective.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 adjective of or relating to algebra
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Examples

Solow's models converged with what I was learning in algebraic topology.

This is, indeed, what they are, if we take the word algebraic in a loose enough sense.
The Life of Reason George Santayana 1907

Real numbers that are solutions of polynomial equations with integer coefficients are called algebraic, and the search was on for numbers that are not algebraic.
Set Theory Jech, Thomas 2002

This idea that there is some group of "logical functions" whose repeated application to some other entities yield complex propositions (and relations) is characteristic of what I am calling algebraic approaches.
Structured Propositions King, Jeffrey C. 2001

Yet she had apparently taken him, as women will, for better, for worse, till death, as trustfully as if he and men generally were as knowable as A B C, instead of as unknown as the algebraic X.
The Honorable Peter Stirling and What People Thought of Him Ford, Paul L 1894

Yet she had apparently taken him, as women will, for better, for worse, till death, as trustfully as if he and men generally were as knowable as A B C, instead of as unknown as the algebraic X.
The Honorable Peter Stirling and What People Thought of Him Paul Leicester Ford 1883

At Bath, he will be working with Professor Gregory Sankaran in the branch of mathematics known as algebraic geometry.
Media Newswire 2010

FOOTNOTES TO ALGEBRA whose title was inspired by Marne Kilates who once published some of my poems in his lovely poets Picturebook and called them "algebraic" should come out later this year.

FOOTNOTES TO ALGEBRA whose title was inspired by Marne Kilates who once published some of my poems in his lovely poets Picturebook and called them "algebraic" should come out later this year.
Archive 20090601 2009

It's for a socalled "Poetry and Math" issue and Marne thought my poems were "algebraic"...then notes in his Editor's Intro that I have an M.B.A.
Archive 20080801 2008
hernesheir commented on the word algebraic
See Diophantus.
March 22, 2011
TankHughes commented on the word algebraic
Algebraic! https://youtu.be/vpG1nR0p0OE
October 8, 2015