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Can I read One-dimensional rings of finite Cohen-Macaulay type on EtoBox?
One-dimensional rings of finite Cohen-Macaulay type by Nuri Cimen is a Mathematics article available to read on EtoBox.
What is One-dimensional rings of finite Cohen-Macaulay type about?
Let R be a commutative one-dimensional reduced local Noetherian ring whose integral closure I? (in its total quotient ring) is a finitely generated R-module. We settle the last remaining unkown case of the following theorem by proving it for the case that some residue field of r? is purely inseparable of degree 2 over the residue field of R. ## Theorem. Let R be a ring as above. R has, up to isomorphism, only finitely many indecomposable finitely generated maximal Cohen-Macaulay modules if and only if (1) d is generated by 3 elements as an R-module; and (2) the intersection of the maximal R-submodules of i?/R is a cyclic R-module.
Who reads One-dimensional rings of finite Cohen-Macaulay type?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Nuri Cimen
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)
- Published
- 1998
- Language
- EN
- Field
- Mathematics (Physical Sciences)