Quasi-Commutative Rings and Differential Ideals
نویسندگان
چکیده
منابع مشابه
Generalizations of Primary Ideals in Commutative Rings
Let R be a commutative ring with identity. Let φ : I(R) → I(R) ∪ {∅} be a function where I(R) denotes the set of all ideals of R. A proper ideal Q of R is called φ-primary if whenever a, b ∈ R, ab ∈ Q−φ(Q) implies that either a ∈ Q or b ∈ √ Q. So if we take φ∅(Q) = ∅ (resp., φ0(Q) = 0), a φ-primary ideal is primary (resp., weakly primary). In this paper we study the properties of several genera...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1936
ISSN: 0002-9947
DOI: 10.2307/1989646