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Paper
IPM / M / 188 |
School of Mathematics
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Title: |
A note on the dual of Burch's inequality
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Author(s): |
M. Tousi
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Status: |
Published
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Journal: |
J. Pure Appl. Algebra
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Vol.: |
149
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Year: |
2000
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Pages: |
101-104
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Supported by: |
IPM
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Abstract: |
The aim of this paper is to improve the main result of [5] (Theorem 3.5). We show that if A is a non-zero Artinian module over a commutative ring R and \fraka ⊆ \frakb are ideals of R such that (0:A \frakb) ≠ 0, then the dual of Burch's inequality
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S\frakb (\fraka,A) ≤ K dimR (A)− width\frakb (0:A \frakai) (i >> 0) |
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holds (the dual notions S\frakb (\fraka,A), K dimR (A),
width\frakb (A) are explained in [5]).
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