Given a set (http://planetmath.org/Set) S with two binary operationsMathworldPlanetmath +:S×SS and :S×SS, we say that is right distributive over + if


and left distributive over + if


If is both left and right distributive over +, then it is said to be distributive over + (or, alternatively, we may say that distributes over +).

Title distributivity
Canonical name Distributivity
Date of creation 2013-03-22 13:47:00
Last modified on 2013-03-22 13:47:00
Owner yark (2760)
Last modified by yark (2760)
Numerical id 15
Author yark (2760)
Entry type Definition
Classification msc 06D99
Classification msc 16-00
Classification msc 13-00
Classification msc 17-00
Synonym distributive law
Synonym distributive property
Related topic Ring
Related topic DistributiveLattice
Related topic NearRing
Defines distributive
Defines left distributive
Defines right distributive
Defines left-distributive
Defines right-distributive
Defines distributes over
Defines left distributivity
Defines right distributivity
Defines left distributes over
Defines left distributive law
Defines right distributive law