Geodesic
Equivalence of matrices over commutative rings
Algebra and discrete mathematics, Tome 17 (2014) no. 1, pp. 12-19

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

We study connections between wildness of the problem of classifying the matrices over an integral domain up to equivalence modulo an ideal and properties of the set of prime elements of the domain.
Keywords: commutative ring, equivalent matrices modulo an ideal, perfect $(I,J)$-matrix, wildness.
Mots-clés : prime element 
@article{ADM_2014_17_1_a1,
     author = {Vitaliy. M. Bondarenko and Alexander A. Tylyshchak and Myroslav V. Stoika},
     title = {Equivalence of matrices over commutative rings},
     journal = {Algebra and discrete mathematics},
     pages = {12--19},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_17_1_a1/}
}
TY  - JOUR
AU  - Vitaliy. M. Bondarenko
AU  - Alexander A. Tylyshchak
AU  - Myroslav V. Stoika
TI  - Equivalence of matrices over commutative rings
JO  - Algebra and discrete mathematics
PY  - 2014
SP  - 12
EP  - 19
VL  - 17
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2014_17_1_a1/
LA  - en
ID  - ADM_2014_17_1_a1
ER  - 
%0 Journal Article
%A Vitaliy. M. Bondarenko
%A Alexander A. Tylyshchak
%A Myroslav V. Stoika
%T Equivalence of matrices over commutative rings
%J Algebra and discrete mathematics
%D 2014
%P 12-19
%V 17
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2014_17_1_a1/
%G en
%F ADM_2014_17_1_a1
Vitaliy. M. Bondarenko; Alexander A. Tylyshchak; Myroslav V. Stoika. Equivalence of matrices over commutative rings. Algebra and discrete mathematics, Tome 17 (2014) no. 1, pp. 12-19. http://geodesic.mathdoc.fr/item/ADM_2014_17_1_a1/