منابع مشابه
Upper bounds for noetherian dimension of all injective modules with Krull dimension
In this paper we give an upper bound for Noetherian dimension of all injective modules with Krull dimension on arbitrary rings. In particular, we also give an upper bound for Noetherian dimension of all Artinian modules on Noetherian duo rings.
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The main aim of this paper is to show that an AB5 module whose small submodules have Krull dimension has a radical having Krull dimension. The proof uses the notion of dual Goldie dimension.
متن کاملSelf-orthogonal Modules of Finite Projective Dimension
Let R be a ring and R a self-orthogonal module. We introduce the notion of the right orthogonal dimension (relative to R ) of modules. We give a criterion for computing this relative right orthogonal dimension of modules. For a left coherent and semilocal ring R and a finitely presented self-orthogonal module R , we show that the projective dimension of R and the right orthogonal dimension (rel...
متن کاملOn Modules of Finite Projective Dimension
We address two aspects of finitely generated modules of finite projective dimension over local rings and their connection in between: embeddability and grade of order ideals of minimal generators of syzygies. We provide a solution of the embeddability problem and prove important reductions and special cases of the order ideal conjecture. In particular we derive that in any local ring R of mixed...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1982
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11977