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VARIETIES OF DIFFERENTIAL MODES EMBEDDABLE INTO SEMIMODULES
- Source :
- International Journal of Algebra and Computation. 19:669-680
- Publication Year :
- 2009
- Publisher :
- World Scientific Pub Co Pte Lt, 2009.
-
Abstract
- Differential modes provide examples of modes that do not embed as subreducts into semimodules over commutative semirings. The current paper studies differential modes, so-called Szendrei differential modes, which actually do embed into semimodules. These algebras form a variety. The main result states that the lattice of nontrivial subvarieties is dually isomorphic to the (nonmodular) lattice of congruences of the free commutative monoid on two generators. Consequently, all varieties of Szendrei differential modes are finitely based.
Details
- ISSN :
- 17936500 and 02181967
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- International Journal of Algebra and Computation
- Accession number :
- edsair.doi...........9cf5a0853bc2f1d27e6a071a88a035ca