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On the deviation and the type of certain local Cohen–Macaulay rings and numerical semigroups

Kunz, E. ; Waldi, R.


In J. Herzog and E. Kunz (1973) [6] it was shown that for any pair (d,t) is an element of N x N+ with (d,t) not equal(1,1) there exists a local Cohen-Macaulay ring R having deviation d(R) = d and type t(R) = t. By E. Kunz (1974) [7] the case d(R) = 1,t(R) = 1 cannot occur. In this paper certain Cohen-Macaulay rings are studied for which there are close relations between deviation, type and ...


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