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VARIETIES OF DIFFERENTIAL MODES EMBEDDABLE INTO SEMIMODULES.

Authors :
PILITOWSKA, A.
ROMANOWSKA, A. B.
STANOVSKÝ, D.
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]

Details

Language :
English
ISSN :
02181967
Volume :
19
Issue :
5
Database :
Complementary Index
Journal :
International Journal of Algebra & Computation
Publication Type :
Academic Journal
Accession number :
44071190
Full Text :
https://doi.org/10.1142/S0218196709005305