Idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with residue field of characteristic $p$ as a Galois module
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 22-28
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M. V. Bondarko. Idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with residue field of characteristic $p$ as a Galois module. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 22-28. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a2/
@article{ZNSL_1999_265_a2,
author = {M. V. Bondarko},
title = {Idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with residue field of characteristic~$p$ as a {Galois} module},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {22--28},
year = {1999},
volume = {265},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a2/}
}
TY - JOUR
AU - M. V. Bondarko
TI - Idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with residue field of characteristic $p$ as a Galois module
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 22
EP - 28
VL - 265
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a2/
LA - ru
ID - ZNSL_1999_265_a2
ER -
%0 Journal Article
%A M. V. Bondarko
%T Idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with residue field of characteristic $p$ as a Galois module
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 22-28
%V 265
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a2/
%G ru
%F ZNSL_1999_265_a2
In this paper we study the question when there exist non-trivial idempotents in the endomorphism ring of an ideal in a $p$-extension of a complete discrete valuation field with residue field of finite characteristic $p>2$ as a Galois module. We prove that there are no non-trivial central idempotents for a non-abelian totally widely ramified extension.
