One-dimensional Cohen-Macaulay local rings of multiplicity three (Q752095)

This paper is a case by case study of one-dimensional local Cohen- Macaulay rings (R,\({\mathfrak m})\) with \(e(R)=3\) and \(em\dim (R)=3\). It determines the lattice of finite integral extensions in the total quotient ring of R and the canonical equations relating the elements of a suitable minimal basis of \({\mathfrak m}\).