Geodesic
Computably separable numbering of locally finitely separable algebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 315-346

Voir la notice de l'article provenant de la source Math-Net.Ru

It has been establish that the locally finitely separability of any universal algebra represented over a given uniformly computably separable equivalence is equivalent to the immune of the characteristic transversal of this equivalence. Examples are presented that demonstrate the infidelity of this criterion for finitely separable algebras, as well as for computably separable equivalences that are not uniform. It is shown that every infinite and co-infinite set is a characteristic transversal of a computably separable equivalence, over which only finitely approximable algebras are represented.
Keywords: numbered algebra, representation of universal algebra over equivalence and $\eta$-algebra, characteristic transversal of equivalence and numbering, uniformly computably separable numbering, finitely and locally finitely separability.
Mots-clés : morphism 
@article{SEMR_2024_21_1_a10,
     author = {N. Kh. Kasymov},
     title = {Computably separable numbering of locally finitely separable algebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {315--346},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a10/}
}
TY  - JOUR
AU  - N. Kh. Kasymov
TI  - Computably separable numbering of locally finitely separable algebras
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2024
SP  - 315
EP  - 346
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a10/
LA  - ru
ID  - SEMR_2024_21_1_a10
ER  - 
%0 Journal Article
%A N. Kh. Kasymov
%T Computably separable numbering of locally finitely separable algebras
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2024
%P 315-346
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a10/
%G ru
%F SEMR_2024_21_1_a10
N. Kh. Kasymov. Computably separable numbering of locally finitely separable algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 1, pp. 315-346. http://geodesic.mathdoc.fr/item/SEMR_2024_21_1_a10/