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Koch, Alan

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 Author ID: koch.alan Published as: Koch, Alan Homepage: https://www.agnesscott.edu/mathematics/faculty/alan-koch.html External Links: MGP
 Documents Indexed: 21 Publications since 1998 Reviewing Activity: 294 Reviews

Co-Authors

 15 single-authored 4 Truman, Paul J. 3 Kohl, Timothy 3 Underwood, Robert G. 1 Guo, Chuya 1 Malagon, Audrey
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Serials

 4 Communications in Algebra 4 Journal of Algebra 4 The New York Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Journal of Pure and Applied Algebra 1 Glasgow Mathematical Journal 1 Pacific Journal of Mathematics 1 The Arabian Journal for Science and Engineering. Section C: Theme Issues 1 Involve
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Fields

 17 Associative rings and algebras (16-XX) 11 Algebraic geometry (14-XX) 4 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX)

Citations contained in zbMATH

15 Publications have been cited 37 times in 16 Documents Cited by Year
Monogenic bialgebras over finite fields and rings of Witt vectors. Zbl 0988.16026
Koch, Alan
2001
Monogenic Hopf algebras and local Galois module theory. Zbl 1028.16018
Koch, Alan
2003
Witt subgroups and cyclic Dieudonné modules killed by $$p$$. Zbl 1082.14524
Koch, Alan
2001
Lifting Witt subgroups to characteristic zero. Zbl 0919.14030
Koch, Alan
1998
Opposite skew left braces and applications. Zbl 1435.16009
Koch, Alan; Truman, Paul J.
2020
Scaffolds and integral Hopf Galois module structure on purely inseparable extensions. Zbl 1318.16030
Koch, Alan
2015
Hopf Galois structures on primitive purely inseparable extensions. Zbl 1307.16028
Koch, Alan
2014
Hopf orders via Breuil modules. Zbl 1135.16046
Koch, Alan
2007
Monogenic Hopf algebras over discrete valuation rings with low ramification. Zbl 1096.16016
Koch, Alan
2005
The Hopf algebra of a uniserial group. Zbl 1067.14041
Koch, Alan
2004
Normality and short exact sequences of Hopf-Galois structures. Zbl 1430.16034
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert
2019
Breuil-Kisin modules and Hopf orders in cyclic group rings. Zbl 1245.16027
Koch, Alan
2012
$$p$$-adic order bounded group valuations on Abelian groups. Zbl 1133.16028
Koch, Alan; Malagon, Audrey
2007
Endomorphisms of monogenic Hopf algebras. Zbl 1126.16027
Koch, Alan
2007
Height one Hopf algebras in low ramification. Zbl 1096.16017
Koch, Alan
2004
Opposite skew left braces and applications. Zbl 1435.16009
Koch, Alan; Truman, Paul J.
2020
Normality and short exact sequences of Hopf-Galois structures. Zbl 1430.16034
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert
2019
Scaffolds and integral Hopf Galois module structure on purely inseparable extensions. Zbl 1318.16030
Koch, Alan
2015
Hopf Galois structures on primitive purely inseparable extensions. Zbl 1307.16028
Koch, Alan
2014
Breuil-Kisin modules and Hopf orders in cyclic group rings. Zbl 1245.16027
Koch, Alan
2012
Hopf orders via Breuil modules. Zbl 1135.16046
Koch, Alan
2007
$$p$$-adic order bounded group valuations on Abelian groups. Zbl 1133.16028
Koch, Alan; Malagon, Audrey
2007
Endomorphisms of monogenic Hopf algebras. Zbl 1126.16027
Koch, Alan
2007
Monogenic Hopf algebras over discrete valuation rings with low ramification. Zbl 1096.16016
Koch, Alan
2005
The Hopf algebra of a uniserial group. Zbl 1067.14041
Koch, Alan
2004
Height one Hopf algebras in low ramification. Zbl 1096.16017
Koch, Alan
2004
Monogenic Hopf algebras and local Galois module theory. Zbl 1028.16018
Koch, Alan
2003
Monogenic bialgebras over finite fields and rings of Witt vectors. Zbl 0988.16026
Koch, Alan
2001
Witt subgroups and cyclic Dieudonné modules killed by $$p$$. Zbl 1082.14524
Koch, Alan
2001
Lifting Witt subgroups to characteristic zero. Zbl 0919.14030
Koch, Alan
1998
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Cited by 13 Authors

 10 Koch, Alan 3 Truman, Paul J. 2 Caranti, Andrea 1 Byott, Nigel P. 1 Campedel, Elena 1 Childs, Lindsay N. 1 Del Corso, Ilaria 1 Elder, Gove Griffith 1 Farnsteiner, Rolf 1 Hazewinkel, Michiel 1 Kohl, Timothy 1 Skowroński, Andrzej 1 Underwood, Robert G.
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Cited in 6 Serials

 5 Journal of Algebra 3 Communications in Algebra 3 Journal of Pure and Applied Algebra 2 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Transactions of the American Mathematical Society
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Cited in 8 Fields

 15 Associative rings and algebras (16-XX) 7 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 3 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX)