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No dialgebra has Gelfand-Kirillov dimension strictly between 1 and 2
- Source :
- Linear and Multilinear Algebra. 70:42-52
- Publication Year :
- 2020
- Publisher :
- Informa UK Limited, 2020.
-
Abstract
- The Gelfand-Kirillov dimension measures the asymptotic rate of growth of algebras. For every associative dialgebra D, the quotient AD:=D/Id(S), where Id(S) is the ideal of D generated by the set S:...
- Subjects :
- Pure mathematics
Algebra and Number Theory
Ideal (set theory)
Mathematics::Rings and Algebras
010103 numerical & computational mathematics
01 natural sciences
Dimension (vector space)
Mathematics::Quantum Algebra
Gelfand–Kirillov dimension
Associative algebra
Computer Science::Networking and Internet Architecture
0101 mathematics
Mathematics::Representation Theory
Associative property
Computer Science::Cryptography and Security
Mathematics
Rate of growth
Subjects
Details
- ISSN :
- 15635139 and 03081087
- Volume :
- 70
- Database :
- OpenAIRE
- Journal :
- Linear and Multilinear Algebra
- Accession number :
- edsair.doi...........4493f1d9ce0f638129b08753fb4928f3
- Full Text :
- https://doi.org/10.1080/03081087.2019.1710101