GENERALIZED PRIMARY RINGS

Authors : Christine GORTON, Henry E HEATHERLY, Ralph P TUCCİ

Pages : 116-132

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Publication Date : 2012-12-01

Article Type : Research Paper

Abstract :The Lasker-Noether concept of a primary ideal is extended in various ways to the category of associative, not necessarily commutative rings. Generically these are called generalized primary conditions insert ignore into journalissuearticles values(right and left);. The structure of generalized primary rings is developed. Special consideration is given to these rings under various chain conditions. The additive structure of such rings is addressed in detail. Examples are given to illustrate and delimit the theory developed.
Keywords : generalized primary conditions, nilpotent ideals, principal ideals, radicals, chain conditions