Open Access Open Access  Restricted Access Subscription or Fee Access

The Properties of Positive Jonsson's Theories and Their Models

A. R. Yeshkeev

Abstract



Actually, we study the connections of the Delta-PJ-theories with their centers. The properties of various companions of some Delta-PJ-theories and their connection with this theory are considered. Also the similarity of the central types of Delta-PJ-theories in the enriched language is considered. In the class of perfect Delta-PJ-theories the conditions of coincidence of algebraic primeness with some sort of atomic models are found. In the class of Delta-PJ-theories, the concepts of syntactic and semantic similarities are introduced and the results on the relationship of these similarities in this class with their centers are obtained.

Keywords


Jonsson's theory, semantic model, companion, model completeness, syntactic and semantic similarities, atomic and algebraically prime models, existentially closed model, lattice of existential formulas.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.