Krull-Schmidt theorem for Henselian rings
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 29-41
Cet article a éte moissonné depuis la source Math-Net.Ru
A necessary and sufficient condition on aring for all indecomposable finite-dimensional algebras over it to be local is found. The Krull–Schmidt theorem for a class of rings that includes both Henselian voluation rings and rings of integers of multi-dimensional fields is proved.
@article{ZNSL_1999_265_a3,
author = {M. V. Bondarko},
title = {Krull-Schmidt theorem for {Henselian} rings},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {29--41},
year = {1999},
volume = {265},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a3/}
}
M. V. Bondarko. Krull-Schmidt theorem for Henselian rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 29-41. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a3/