Back to Search
Start Over
On the Dimension of Modules and Algebras, VI. Comparison of Global and Algebra Dimension
- Source :
- Nagoya Math. J. 11 (1957), 61-65
- Publication Year :
- 1957
- Publisher :
- Cambridge University Press (CUP), 1957.
-
Abstract
- Throughout this paper all rings are assumed to have unit elements. A ring Λ is said to be semi-primary if its Jacobson radical N is nilpotent and Г = Λ/N satisfies the minimum condition. The main objective of this paper isTHEOREM I. Let A be a semi-primary algebra over a field K. Let N be the radical of Λ and Г = Λ/N. IfThendim Λ = gl.dim Λ.
- Subjects :
- Ring (mathematics)
Pure mathematics
010308 nuclear & particles physics
General Mathematics
010102 general mathematics
Subalgebra
Jacobson radical
01 natural sciences
Algebra
Nilpotent
0103 physical sciences
Algebra representation
Cellular algebra
0101 mathematics
Algebra over a field
18.0X
Dimension theory (algebra)
Mathematics
Subjects
Details
- ISSN :
- 21526842 and 00277630
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Nagoya Mathematical Journal
- Accession number :
- edsair.doi.dedup.....d591938de62b202dcafebafa3d7db142