Commutative Ring Theory

Matsumura, H. (1989). Commutative Ring Theory. Cambridge University Press.

Type

Book

Intellectual base

Review or monograph

Year

1989

DOI

10.1017/cbo9781139171762

ISBN

9780521259163

DOI registrant

Cambridge University Press

Link

https://doi.org/10.1017/cbo9781139171762

Cited by

4 citations across 4 artifacts.

Domain-specific

• Associated graded ring
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Cohen ring
  • … constitutive identity and a convenient observable transfers from A canonical example satisfies the full defining rule of Cohen ring with every parameter and convention explicit. to A careful use of Cohen ring tests its carrier, assumptions, boundary and nearest confusable rather than relying on the label alone..
• Completion of a ring
  • … Z\) and \(I=(p)\), the \(I\)-adic completion is the ring \(\mathbb Z_p\) of \(p\)-adic integers. to Completing a Noetherian local ring \((A,\mathfrak m)\) at its maximal ideal produces \(\widehat A\), a complete local ring used to study the formal neighborhood of the closed point. demonstrates that continuity.
• Total ring of fractions
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

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