Our investigation into the endo-structure of infinite direct sums i∈ I M i of indecomposable modules M i -over a ring R with identity-is centered on the following question: If S = End R i∈ I M i , how much pressure, in terms of the S-structure of i∈ I M i , is required to force the M i into finitely
Direct sums of ordered near-rings
✍ Scribed by Günter F Pilz
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 153 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let R, m be a local ring commutative and Noetherian . If R is complete or, . more generally, Henselian , one has the Krull᎐Schmidt uniqueness theorem for direct sums of indecomposable finitely generated R-modules. By passing to the m-adic completion R, we can get a measure of how badly the Krull᎐Sch
## Abstract High order finite elements often exhibit an oscillatory behaviour near stress singularities which appears similar to the Gibbs phenomenon in the theory of Fourier series. It is known that under certain conditions the average of successive partial sums (the first Cesaro sum) of a Fourier