Commutative Algebra
Let 
denote an 
-algebra, so that is a Vector Space over 
and
Now define
where
. An Associative -algebra is commutative if 
for all 
.Similarly, a Ring is commutative if the Multiplication operation is commutative, and a Lie Algebra iscommutative if the Commutator 
is 0 for every and 
in the Lie Algebra.See also Abelian Group, Commutative
References
Cox, D.; Little, J.; and O'Shea, D. Ideals, Varieties, and Algorithms: An Introduction to Algebraic Geometry and Commutative Algebra, 2nd ed. New York: Springer-Verlag, 1996. Finch, S. ``Zero Structures in Real Algebras.'' http://www.mathsoft.com/asolve/zerodiv/zerodiv.html. MacDonald, I. G. and Atiyah, M. F. Introduction to Commutative Algebra. Reading, MA: Addison-Wesley, 1969. Samuel, P. and Zariski, O. Commutative Algebra, Vol. 2. New York: Springer-Verlag, 1997.
- Liebmann's Theorem
- Lie Bracket
- Lie Commutator
- Lie Derivative
- Lie Group
- Lie Groupoid
- Lie Product
- Lie-Type Group
- Life
- Life Expectancy
- Lift
- Lifting Problem
- Ligancy
- Likelihood
- Likelihood Ratio
- Limaçon
- Limaçon Evolute
- Limaçon of Pascal
- Limit
- Limit Comparison Test
- Limit Cycle
- Limit Point
- Lindeberg Condition
- Lindeberg-Feller Central Limit Theorem
- Lindelof's Theorem