Geodesic
On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 3-15

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

We describe algebras of distributions of binary isolating formulas for theories of abelian groups and their ordered enriching. This description is based on general theory of algebras of isolating formulas and uses the specificity of basedness of theories of abelian groups which is based on Shmeleva's invariants. We give Cayley tables for algebras corresponding to theories of base abelian groups and their ordered enrichings, and point out a machinery of transformation of theories of base abelian groups into algebras for arbitrary theories of abelian groups.
Keywords: algebra of distributions of binary isolating formulas, abelian group, elementary theory, ordered enriching. 
@article{IVM_2018_4_a0,
     author = {K. A. Baikalova and D. Yu. Emel'yanov and B. Sh. Kulpeshov and E. A. Palyutin and S. V. Sudoplatov},
     title = {On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_4_a0/}
}
TY  - JOUR
AU  - K. A. Baikalova
AU  - D. Yu. Emel'yanov
AU  - B. Sh. Kulpeshov
AU  - E. A. Palyutin
AU  - S. V. Sudoplatov
TI  - On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2018
SP  - 3
EP  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2018_4_a0/
LA  - ru
ID  - IVM_2018_4_a0
ER  - 
%0 Journal Article
%A K. A. Baikalova
%A D. Yu. Emel'yanov
%A B. Sh. Kulpeshov
%A E. A. Palyutin
%A S. V. Sudoplatov
%T On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2018
%P 3-15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2018_4_a0/
%G ru
%F IVM_2018_4_a0
K. A. Baikalova; D. Yu. Emel'yanov; B. Sh. Kulpeshov; E. A. Palyutin; S. V. Sudoplatov. On algebras of distributions of isolating formulas of theory of abelian groups and their ordered enrichings. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2018), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2018_4_a0/