Incompatible transformations of principal ideal rings
Diskretnaya Matematika, Tome 19 (2007) no. 1, pp. 50-59.

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

We consider problems on transformations of principal ideal rings incompatible with some epimorphisms of a given ring. We introduce the notion of a maximally incompatible transformation and describe all maximally incompatible transformations of the principal ideals ring $A$ by a homomorphism $A\to A\mathfrak m$, where $\mathfrak m$ is some ideal of the ring $A$.
@article{DM_2007_19_1_a6,
     author = {A. V. Akishin},
     title = {Incompatible transformations of principal ideal rings},
     journal = {Diskretnaya Matematika},
     pages = {50--59},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2007_19_1_a6/}
}
TY  - JOUR
AU  - A. V. Akishin
TI  - Incompatible transformations of principal ideal rings
JO  - Diskretnaya Matematika
PY  - 2007
SP  - 50
EP  - 59
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2007_19_1_a6/
LA  - ru
ID  - DM_2007_19_1_a6
ER  - 
%0 Journal Article
%A A. V. Akishin
%T Incompatible transformations of principal ideal rings
%J Diskretnaya Matematika
%D 2007
%P 50-59
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2007_19_1_a6/
%G ru
%F DM_2007_19_1_a6
A. V. Akishin. Incompatible transformations of principal ideal rings. Diskretnaya Matematika, Tome 19 (2007) no. 1, pp. 50-59. http://geodesic.mathdoc.fr/item/DM_2007_19_1_a6/

[1] Anashin V. S., “Ravnomerno raspredelennye posledovatelnosti tselykh $p$-adicheskikh chisel”, Diskretnaya matematika, 14:4 (2004), 3–64

[2] Anashin V. S., “Ravnomerno raspredelennye posledovatelnosti tselykh $p$-adicheskikh chisel”, Matematicheskie zametki, 55:2 (1994), 3–46 | MR | Zbl

[3] Kon P., Universalnaya algebra, Mir, Moskva, 1968

[4] Leng S., Algebra, Mir, Moskva, 1968