Algebra¶
Mac Lane, S., & Birkhoff, G. (1967). Algebra.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Identity Element
- The same object routinely plays the role under one operation and a quite different role under another: 0 is neutral for addition and absorbing for multiplication, and the empty set is neutral for union and absorbing for intersection.
This sourceCovers both the ring case, where 0 is neutral for addition and annihilating for multiplication, and lattices, where each universal bound is neutral for one operation and absorbing for the other, so the role attaches to an element-and-operation pair.
- The same object routinely plays the role under one operation and a quite different role under another: 0 is neutral for addition and absorbing for multiplication, and the empty set is neutral for union and absorbing for intersection.
Verification¶
This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.
Registry ID ref:b69d1e4e42b7 · see in the full table