Koch, Alan Primitively generated Hopf orders in characteristic \(p\). (English) Zbl 1393.16022 Commun. Algebra 45, No. 6, 2673-2689 (2017). MSC: 16T05 16H15 PDF BibTeX XML Cite \textit{A. Koch}, Commun. Algebra 45, No. 6, 2673--2689 (2017; Zbl 1393.16022) Full Text: DOI arXiv
Koch, Alan Scaffolds and integral Hopf Galois module structure on purely inseparable extensions. (English) Zbl 1318.16030 New York J. Math. 21, 73-91 (2015). Reviewer: George Szeto (Peoria) MSC: 16T05 11R33 11S15 12F15 PDF BibTeX XML Cite \textit{A. Koch}, New York J. Math. 21, 73--91 (2015; Zbl 1318.16030) Full Text: EMIS arXiv
Koch, Alan Hopf Galois structures on primitive purely inseparable extensions. (English) Zbl 1307.16028 New York J. Math. 20, 779-797 (2014). Reviewer: George Szeto (Peoria) MSC: 16T05 PDF BibTeX XML Cite \textit{A. Koch}, New York J. Math. 20, 779--797 (2014; Zbl 1307.16028) Full Text: EMIS arXiv
Koch, Alan Bi-genic Hopf algebras in characteristic \(p\). (English) Zbl 1365.16017 Rocky Mt. J. Math. 42, No. 6, 1919-1938 (2012). Reviewer: Zhang Liangyun (Nanjing) MSC: 16T05 16E40 16E30 PDF BibTeX XML Cite \textit{A. Koch}, Rocky Mt. J. Math. 42, No. 6, 1919--1938 (2012; Zbl 1365.16017) Full Text: DOI Euclid
Koch, Alan Breuil-Kisin modules and Hopf orders in cyclic group rings. (English) Zbl 1245.16027 Commun. Algebra 40, No. 2, 607-631 (2012). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16T05 16H10 16S34 14L15 PDF BibTeX XML Cite \textit{A. Koch}, Commun. Algebra 40, No. 2, 607--631 (2012; Zbl 1245.16027) Full Text: DOI arXiv
Koch, Alan Realizable Hopf algebras killed by \([p]\) over a discrete valuation ring. (English) Zbl 1186.16024 Arab. J. Sci. Eng., Sect. C, Theme Issues 33, No. 2, 315-323 (2008). MSC: 16T05 14L15 11R33 PDF BibTeX XML Cite \textit{A. Koch}, Arab. J. Sci. Eng., Sect. C, Theme Issues 33, No. 2, 315--323 (2008; Zbl 1186.16024)
Koch, Alan Hopf orders via Breuil modules. (English) Zbl 1135.16046 J. Algebra 317, No. 1, 291-305 (2007). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16W30 16H05 16S34 14L15 PDF BibTeX XML Cite \textit{A. Koch}, J. Algebra 317, No. 1, 291--305 (2007; Zbl 1135.16046) Full Text: DOI
Koch, Alan Endomorphisms of monogenic Hopf algebras. (English) Zbl 1126.16027 Commun. Algebra 35, No. 3, 747-758 (2007). Reviewer: Margaret Beattie (Sackville) MSC: 16W30 16W20 14L15 14L05 16S50 PDF BibTeX XML Cite \textit{A. Koch}, Commun. Algebra 35, No. 3, 747--758 (2007; Zbl 1126.16027) Full Text: DOI
Koch, Alan Monogenic Hopf algebras over discrete valuation rings with low ramification. (English) Zbl 1096.16016 J. Algebra 286, No. 2, 405-420 (2005). Reviewer: Lindsay N. Childs (Albany) MSC: 16W30 14L05 14L15 PDF BibTeX XML Cite \textit{A. Koch}, J. Algebra 286, No. 2, 405--420 (2005; Zbl 1096.16016) Full Text: DOI
Koch, Alan Height one Hopf algebras in low ramification. (English) Zbl 1096.16017 New York J. Math. 10, 295-306 (2004). Reviewer: Lindsay N. Childs (Albany) MSC: 16W30 14L15 14L05 PDF BibTeX XML Cite \textit{A. Koch}, New York J. Math. 10, 295--306 (2004; Zbl 1096.16017) Full Text: EMIS EuDML
Koch, Alan The Hopf algebra of a uniserial group. (English) Zbl 1067.14041 Pac. J. Math. 215, No. 2, 347-356 (2004). Reviewer: Lindsay N. Childs (Albany) MSC: 14L15 PDF BibTeX XML Cite \textit{A. Koch}, Pac. J. Math. 215, No. 2, 347--356 (2004; Zbl 1067.14041) Full Text: DOI
Koch, Alan Monogenic Hopf algebras and local Galois module theory. (English) Zbl 1028.16018 J. Algebra 264, No. 2, 408-419 (2003). Reviewer: Lindsay N.Childs (Albany) MSC: 16W30 14L05 11S31 PDF BibTeX XML Cite \textit{A. Koch}, J. Algebra 264, No. 2, 408--419 (2003; Zbl 1028.16018) Full Text: DOI
Koch, Alan Witt subgroups and cyclic Dieudonné modules killed by \(p\). (English) Zbl 1082.14524 Rocky Mt. J. Math. 31, No. 3, 1023-1038 (2001). MSC: 14L15 PDF BibTeX XML Cite \textit{A. Koch}, Rocky Mt. J. Math. 31, No. 3, 1023--1038 (2001; Zbl 1082.14524) Full Text: DOI Link
Koch, Alan Monogenic bialgebras over finite fields and rings of Witt vectors. (English) Zbl 0988.16026 J. Pure Appl. Algebra 163, No. 2, 193-207 (2001). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 16W30 14L15 13K05 PDF BibTeX XML Cite \textit{A. Koch}, J. Pure Appl. Algebra 163, No. 2, 193--207 (2001; Zbl 0988.16026) Full Text: DOI
Koch, Alan Lifting Witt subgroups to characteristic zero. (English) Zbl 0919.14030 New York J. Math. 4, 127-136 (1998). Reviewer: M.Kolster (Hamilton/Ontario) MSC: 14L05 13K05 14G20 PDF BibTeX XML Cite \textit{A. Koch}, New York J. Math. 4, 127--136 (1998; Zbl 0919.14030) Full Text: EMIS EuDML