A generalization of additive ideal theory

Author:

Grundy P. M.

Abstract

The division of ideal theory into the additive and multiplicative branches of the subject is a marked one of long standing. It is the object of this paper to carry the distinction a stage further, by showing how the group-theoretic methods of the additive branch can be extended to modules, that is, to Abelian groups, provided the ring of operators is commutative.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bibliography;Pure and Applied Mathematics;1971

2. Konstruktionsverfahren bei Moduln �ber Polynomringen;Mathematische Zeitschrift;1965

3. L�ckengarben von koh�renten analytischen Modulgarben;Mathematische Annalen;1962-10

4. Maximal commutative algebras of linear transformations;Transactions of the American Mathematical Society;1961

5. Polar modules;Mathematical Proceedings of the Cambridge Philosophical Society;1957-07

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