Critical points between varieties generated by subspace lattices of vector spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050568" target="_blank" >RIV/00216208:11320/10:10050568 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Critical points between varieties generated by subspace lattices of vector spaces
Original language description
We denote by Conc(A) the semilattice of all compact congruences of an algebra A. Given a variety V of algebras, we denote by Conc(V) the class of all semilattices isomorphic to Conc(A) for some A in V. Given varieties V and W of algebras, the critical point of V under W, denoted by crit(V,W) is the smallest cardinality of a semilattice that belongs to Conc(V)-Conc(W). Let K and F be finite field such that card K } card F, let A (resp., B) be a vector space of dimension 3 on K (resp., F). Denote by V (resp., W) the variety of lattices generated by the subspace lattice of A (resp., B), then crit(V,W) is aleph 2.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)