Projective modules over the ring of pseudorational numbers
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 541-550.

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

We prove the structure theorems which give a full description of projective modules over the ring of pseudorational numbers. We construct a complete system of invariants for such modules.
Keywords: projective module, ring of pseudorational numbers, system of invariants.
@article{JSFU_2011_4_4_a12,
     author = {Egor A. Timoshenko},
     title = {Projective modules over the ring of pseudorational numbers},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {541--550},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a12/}
}
TY  - JOUR
AU  - Egor A. Timoshenko
TI  - Projective modules over the ring of pseudorational numbers
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2011
SP  - 541
EP  - 550
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a12/
LA  - ru
ID  - JSFU_2011_4_4_a12
ER  - 
%0 Journal Article
%A Egor A. Timoshenko
%T Projective modules over the ring of pseudorational numbers
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2011
%P 541-550
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a12/
%G ru
%F JSFU_2011_4_4_a12
Egor A. Timoshenko. Projective modules over the ring of pseudorational numbers. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 541-550. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a12/

[1] A. A. Fomin, “Some mixed abelian groups as modules over the ring of pseudo-rational numbers”, Abelian Groups and Modules, Birkhäuser, Basel et al., 1999, 87–100 | MR | Zbl

[2] P. A. Krylov, E. G. Pakhomova, E. I. Podberezina, “Ob odnom klasse smeshannykh abelevykh grupp”, Vestn. Tomskogo un-ta, 2000, no. 269, 47–51

[3] A. V. Tsarev, “Proektivnye i obrazuyuschie moduli nad koltsom psevdoratsionalnykh chisel”, Mat. zametki, 80:3 (2006), 437–448 | MR | Zbl

[4] A. A. Fomin, “Quotient divisible mixed groups”, Abelian Groups, Rings and Modules, Contemp. Math., 273, 2001, 117–128 | MR | Zbl

[5] A. Kartan, S. Eilenberg, Gomologicheskaya algebra, Izd-vo inostr. lit., M., 1960 | MR