On varieties closed under the construction of power algebras
- 1 October 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 11 (2) , 213-218
- https://doi.org/10.1017/s000497270004380x
Abstract
It is shown that if a variety V of (universal) algebras, defined by a set Σ of identities, is closed under the construction of power algebras then V can be defined by the subset Σ′ of Σ consisting of those identities ν = w of Σ such that every variable in ν = w occurs exactly once on both sides.Keywords
This publication has 2 references indexed in Scilit:
- Permanence of identities on algebrasAlgebra universalis, 1973
- The validity of equations of complex algebrasArchive for Mathematical Logic, 1957