Algebra

Artin, M. (1991). Algebra. Prentice Hall.

Type

Book

Intellectual base

Textbook

Year

1991

Link

https://www.pearson.com/en-us/subject-catalog/p/algebra/P200000006098

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Group
  • The four axioms — closure, associativity, identity, inverses — say almost nothing about what the elements are or what the operation means, yet they suffice to capture the deep structural pattern of reversible composable transformations.

    This sourceStandard text stating the group axioms (closure, associativity, identity, inverses) and developing them as the algebra of reversible composable transformations.

Domain-specific

• Frobenius endomorphism
  • … demonstrates that the carrier is a commutative ring of prime characteristic p and the map sends every element to its pth power while preserving zero, one, addition, and multiplication. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

Verification

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Registry ID ref:731572693717 · see in the full table