The amalgamation spectrum

A new spectrum of recursive models using an amalgamation construction

We employ an infinite-signature Hrushovski amalgamation construction to yield two results in Recursive Model Theory. The first result, that there exists a strongly minimal theory whose only recursively presentable models are the prime and saturated models, adds a new spectrum to the list of known possible spectra. The second result, that there exists a strongly minimal theory in a finite langua...

On pm$^+$ and finite character bi-amalgamation

‎Let $f:Arightarrow B$ and $g:A rightarrow C$ be two ring homomorphisms and let $J$ and $J^{'}$ be two ideals of $B$ and $C$‎, ‎respectively‎, ‎such that $f^{-1}(J)=g^{-1}(J^{'})$‎. ‎The bi-amalgamation of $A$ with $(B,C)$ along $(J,J^{'})$ with respect of $(f,g)$ is the subring of $Btimes C$ given by‎ ‎$Abowtie^{f,g}(J,J^{'})={(f(a)+j,g(a)+j^{'})‎/ ‎a in A‎, ‎(j,j^{'}) in Jtimes J^{'}}.$‎ ‎In ...

Amalgamation of medical universities in Tehran Province

Disjoint Amalgamation in Locally Finite AEC

We introduce the concept of a locally finite abstract elementary class and develop the theory of excellence (with respect to disjoint ( , k)-amalgamation) for such classes. From this we find a family of complete L!1,! sentences r that a) homogeneously characterizes @r (improving results of Hjorth [12] and Laskowski-Shelah [14] and answering a question of [22]), while b) the r provide the first...

Comparative studies of extraction chromatography and electro-amalgamation separation to produce no-carrier added 177Lu by Tehran research reactor

Introduction:Owing to its favorable radionuclidic characteristics, such as tl/2 = 6.73 day and Eβ (max) = 497 keV and ease of its large-scale production using medium flux research reactors, lutetium-177 (177Lu) is an attractive radionuclide for various therapeutic applications. No carrier added (NCA) 177Lu was obtained by thermal neut...