Some articles on rings, operation:
... Two of the most basic objects in abstract algebra are groups and rings ... A group consists of a set of elements and a single operation which combines a first and a second element and returns a third ... The operation must satisfy certain constraints for it to determine a group It must be closed (when applied to any pair of elements of the associated set, the ...
Famous quotes containing the words operation and/or ring:
“An absolute can only be given in an intuition, while all the rest has to do with analysis. We call intuition here the sympathy by which one is transported into the interior of an object in order to coincide with what there is unique and consequently inexpressible in it. Analysis, on the contrary, is the operation which reduces the object to elements already known.”
—Henri Bergson (18591941)
“Rich and rare were the gems she wore,
And a bright gold ring on her hand she bore.”
—Thomas Moore (17791852)