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VARIETIES OF DIFFERENTIAL MODES EMBEDDABLE INTO SEMIMODULES.
- Source :
-
International Journal of Algebra & Computation . Aug2009, Vol. 19 Issue 5, p669-680. 12p. - Publication Year :
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICS
*DIFFERENTIAL equations
*ALGEBRA
*MATHEMATICAL instruments
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 02181967
- Volume :
- 19
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Algebra & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 44071190
- Full Text :
- https://doi.org/10.1142/S0218196709005305