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Can I read The Minimal Resolution of a Codimension Four Almost Complete Intersection Is a DG-Algebra on EtoBox?
The Minimal Resolution of a Codimension Four Almost Complete Intersection Is a DG-Algebra by A.R. Kustin is a Mathematics article available to read on EtoBox.
What is The Minimal Resolution of a Codimension Four Almost Complete Intersection Is a DG-Algebra about?
Let \((R, \mathfrak{m}, k\) ) be a commutative noetherian local ring in which two is a unit. We prove that if \(J\) is a five generated grade four perfect ideal in \(R\), then the minimal resolution of \(R / J\) by free \(R\)-modules is an associative, differential, graded-commutative algebra. This result extends and completes the work in [J. Algebra 159 (1993), 1-46), where the conclusion is shown to hold provided certain technical conditions on Tor are satisfied. The multiplication on the resolution of \(R / J\) is constructed using appropriate higher order multiplication on the resolution of \(R / I\). where \(I\) is a Gorenstein ideal which is linked to \(J\). 1994 Academic Press. Inc.
Who reads The Minimal Resolution of a Codimension Four Almost Complete Intersection Is a DG-Algebra?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- A.R. Kustin
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 1994
- Language
- EN
- Field
- Mathematics (Physical Sciences)