A finitely generated algebra A in a variety V V is called finitely determined in V V if there exists a finite V V-consistent set of equalities and inequalities in an alphabet containing the generating set of A, which, together with the identities of V V , yields all relations and non-relations of A.
Sums of finitely based lattice varieties
✍ Scribed by Bjarni Jónsson
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 733 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
✦ Synopsis
This paper is concerned with the question whether the lattice sum (join)
V $ V' of two finitely based lattice varieties V and V' is finitely based. An example is constructed showing that this is not always the case. On the other hand, it is proved that if V C M and (V')* = (N)', then V + V' is finitely based.
📜 SIMILAR VOLUMES
This paper was written during the author's subbatical leave (Spring 1988) which was spent, at the invitation of Professor STANLEY BURRIS, at the University of Waterloo. The author expresses his deep gratitude to Professor BURRIS and the Department of Pure Mathematics for providing him with excellent
In this note we show that the apolar cubic forms associated to codimension 2 linear sections of canonical curves of genus g ≥ 11 are special with respect to their presentation as sums of cubes.