The grade of an ideal or module

1 January 1957

journal article
research article
Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 53 (1) , 28-42
https://doi.org/10.1017/s0305004100031960

Abstract

In (6), the author introduced a numerical character of an idealof a Noether ringA, called the grade of. This can be defined as the least integerksuch 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.

Keywords

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