A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Nonnoetherian complete intersections

1972
*
Bulletin of the American Mathematical Society
*

Let all rings here be commutative and unitary. As it is well known, a noetherian local ring A (quotient of a regular ring with residue field K) is a complete intersection if and only if the integers ft = dim x Torf (K,19 appear in an equality of formal series of the following type lAx'-a + xr/a-x 2 )'. Furthermore the integer r -s is positive (equal to the dimension of the noetherian ring A). In the nonnoetherian case, by means of André-Quillen homology theory, a criterion is given for

doi:10.1090/s0002-9904-1972-13005-2
fatcat:vgr66vqe4zeoxh5x2ko42xddbi