| Institution: | SPIC Mathematical Institute, 92 G. N. Chetty Road, T. Nagar, Chennai 600 017, India ; Department of Mathematics, Indian Institute of Technology, Bombay, Powai, Mumbai 400 076, India |
| Abstract: | Several bounds on the number of generators of Cohen-Macaulay ideals known in the literature follow from a simple inequality which bounds the number of generators of such ideals in terms of mixed multiplicities. Results of Cohen and Akizuki, Abhyankar, Sally, Rees and Boratynski-Eisenbud-Rees are deduced very easily from this inequality. |
