Homological Algebra on a Complete Intersection, with an Application to Group Respresentations

Eisenbud, D. (1980). Homological Algebra on a Complete Intersection, with an Application to Group Respresentations. Transactions of the American Mathematical Society, 35-64.

Type

Journal article

Intellectual base

Primary research

Year

1980

Pages

35-64

ISSN

0002-9947

DOI

10.1090/s0002-9947-1980-0570778-7

DOI registrant

American Mathematical Society

Link

https://doi.org/10.1090/s0002-9947-1980-0570778-7

Cited by

4 citations across 2 artifacts.

Domain-specific

• Matrix factorization (algebra)
  • Matrix factorizations encode modules and singularity data through a periodic algebraic decomposition of one equation.
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Matrix factorization of a polynomial
  • A matrix factorization replaces scalar factorization by a two-periodic linear algebraic decomposition of multiplication by a polynomial.
  • … observable transfers from A canonical example satisfies the full defining rule of Matrix factorization of a polynomial with assumptions and conventions explicit. to A careful use of Matrix factorization of a polynomial tests the constitutive rule and nearest confusable rather than relying on the label alone..

Verification

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