Commutative ideal theory without finiteness conditions: Completely irreducible ideals
نویسندگان
چکیده
منابع مشابه
Commutative Ideal Theory without Finiteness Conditions: Completely Irreducible Ideals
An ideal of a ring is completely irreducible if it is not the intersection of any set of proper overideals. We investigate the structure of completely irrreducible ideals in a commutative ring without finiteness conditions. It is known that every ideal of a ring is an intersection of completely irreducible ideals. We characterize in several ways those ideals that admit a representation as an ir...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2006
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-06-03815-3