论文信息 - The grade of an ideal or module

The grade of an ideal or module

In (6), the author introduced a numerical character of an ideal of a Noether ring A , called the grade of . This can be defined as the least integer k such that (the definition given in ( 6 ) differed from this, but, as will be seen below, is equivalent). The purpose of the present paper is to study this character in more detail.

D. Rees | D. Rees

[1] W. Gröbner,et al. Moderne Algebraische Geometrie , 1949 .

[2] D. Northcott. On Unmixed Ideals in Regular Local Rings , 1953 .

[3] I. S. Cohen. On the structure and ideal theory of complete local rings , 1946 .

[4] Jean-Pierre Serre. Faisceaux algébriques cohérents , 1955 .

[5] F. S. Macaulay,et al. The Algebraic Theory of Modular Systems , 1972 .

[6] D. Rees. A theorem of homological algebra , 1956, Mathematical Proceedings of the Cambridge Philosophical Society.