Koch, Alan; Truman, Paul J. Opposite skew left braces and applications. (English) Zbl 1435.16009 J. Algebra 546, 218-235 (2020). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16T25 20N99 16T05 PDF BibTeX XML Cite \textit{A. Koch} and \textit{P. J. Truman}, J. Algebra 546, 218--235 (2020; Zbl 1435.16009) Full Text: DOI arXiv
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert Normality and short exact sequences of Hopf-Galois structures. (English) Zbl 1430.16034 Commun. Algebra 47, No. 5, 2086-2101 (2019). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 20B35 12F10 PDF BibTeX XML Cite \textit{A. Koch} et al., Commun. Algebra 47, No. 5, 2086--2101 (2019; Zbl 1430.16034) Full Text: DOI arXiv
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert The structure of Hopf algebras acting on dihedral extensions. (English) Zbl 1415.16025 Feldvoss, Jörg (ed.) et al., Advances in algebra. Proceedings of the southern regional algebra conference, SRAC 2017, Mobile, AL, USA, March 17–19, 2017. Cham: Springer. Springer Proc. Math. Stat. 277, 201-218 (2019). MSC: 16T05 PDF BibTeX XML Cite \textit{A. Koch} et al., Springer Proc. Math. Stat. 277, 201--218 (2019; Zbl 1415.16025) Full Text: DOI arXiv
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert Isomorphism problems for Hopf-Galois structures on separable field extensions. (English) Zbl 1403.16031 J. Pure Appl. Algebra 223, No. 5, 2230-2245 (2019). MSC: 16T05 12F10 PDF BibTeX XML Cite \textit{A. Koch} et al., J. Pure Appl. Algebra 223, No. 5, 2230--2245 (2019; Zbl 1403.16031) Full Text: DOI arXiv
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; Malagon, Audrey \(p\)-adic order bounded group valuations on Abelian groups. (English) Zbl 1133.16028 Glasg. Math. J. 49, No. 2, 269-279 (2007). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16W30 16H05 16W60 16S34 PDF BibTeX XML Cite \textit{A. Koch} and \textit{A. Malagon}, Glasg. Math. J. 49, No. 2, 269--279 (2007; Zbl 1133.16028) 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 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 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