On the Krull intersection theorem in function algebras
نویسندگان
چکیده
منابع مشابه
The Krull Intersection Theorem
Let R be a commutative ring, / an ideal in R, and A an i?-module. We always have 0 £= 0 £ I(\~=1 I A £ f|ϊ=i JM. where S is the multiplicatively closed set {1 — i\ie 1} and 0 = 0s Π A = {α G A13S 6 S 3 sα = 0}. It is of interest to know when some containment can be replaced by equality. The Krull intersection theorem states that for R Noetherian and A finitely generated I Π*=i I A = Π~=i IA. Si...
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15 صفحه اولthe remak-krull-schmidt theorem on fuzzy groups
in this paper we study a representation of a fuzzy subgroup $mu$ of a group $g$, as a product of indecomposable fuzzy subgroups called the components of $mu$. this representation is unique up to the number of components and their isomorphic copies. in the crisp group theory, this is a well-known theorem attributed to remak, krull, and schmidt. we consider the lattice of fuzzy subgroups and som...
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2017
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073606.2017.1289482