Geodesic
Associated Prime Divisors in the Sense of Krull
Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 808-818

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper by Douglas Underwood [8] several definitions of “associated prime divisors” were discussed and shown to be unique. In this note we produce a fifth type, which is due to W. Krull, and is found in his classical paper [2] and further discussed by B. Banaschewski in [1]. Historically this characterization considerably predates the other four definitions.Throughout this note, R denotes a commutative ring with unity, and all ideals and elements are assumed to be in such a ring. We shall let upper case letters, most frequently the beginning of the alphabet, denote ideals and lower case letters, elements of R. On the whole, our terminology will be that of [9]. We do, however, take exception with [9] in two instances, viz. 
Kuntz, Richard A. Associated Prime Divisors in the Sense of Krull. Canadian journal of mathematics, Tome 24 (1972) no. 5, pp. 808-818. doi: 10.4153/CJM-1972-079-0
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