CS matrix rings over local rings
โ Scribed by K.I. Beidar; S.K. Jain; Pramod Kanwar; J.B. Srivastava
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 121 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The main purpose of this work is to establish necessary conditions and sufficient conditions for the existence of a solution of matrix equations whose coefficient matrices have elements belonging to the ring R=t [zl,z2,...,zn] of polynomials in n variables with complex coefficients and the ring R=~[
We show that the following two conditions, for each integer r G 1, are equivalent for a finitely generated module M over a complete Noetherian local ring ลฝ . R, แ : embeddable in E r , where E denotes the injective hull of the residue field Rrแ. ลฝ . r ลฝ . b Either M ; E , or else dim Hom Rrแ, M s k