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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 265, Pages 22–28 (Mi znsl1187)  
This article is cited in 1 scientific paper (total in 1 paper)

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

M. V. Bondarko

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (170 kB) Citations (1)
Abstract: 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.
Received: 01.11.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 112, Issue 3, Pages 4255–4258
DOI: https://doi.org/10.1023/A:1020374315167
Bibliographic databases:
UDC: 512
Language: Russian
Citation: 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”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 22–28; J. Math. Sci. (New York), 112:3 (2002), 4255–4258
Citation in format AMSBIB
\Bibitem{Bon99}
\by M.~V.~Bondarko
\paper 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
\inbook Problems in the theory of representations of algebras and groups. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 265
\pages 22--28
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1757813}
\zmath{https://zbmath.org/?q=an:1041.11080}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 112
\issue 3
\pages 4255--4258
\crossref{https://doi.org/10.1023/A:1020374315167}
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  • https://www.mathnet.ru/eng/znsl/v265/p22
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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