Algebra

MacLane, S., & Birkhoff, G. (1967). Algebra. AMS Chelsea Publishing.

Type

Book

Intellectual base

Review or monograph

Year

1967

Link

https://archive.org/details/algebra00macl

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

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.

Domain-specific

• Inclusion map
  • The inclusion map sends x in A to the same x considered as an element of B.

Verification

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Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

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Registry ID ref:b69d1e4e42b7 · see in the full table