Finite group schemes over fields
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- by Raymond T. Hoobler and Andy R. Magid PDF
- Proc. Amer. Math. Soc. 33 (1972), 310-312 Request permission
Abstract:
A short proof that commutative group schemes over a field form an abelian category is given.References
- Peter Freyd, Abelian categories. An introduction to the theory of functors, Harper’s Series in Modern Mathematics, Harper & Row, Publishers, New York, 1964. MR 0166240
- Pierre Gabriel, Construction de préschémas quotient, Schémas en Groupes (Sém. Géométrie Algébrique, Inst. Hautes Études Sci., 1963/64) Inst. Hautes Études Sci., Paris, 1963, pp. Fasc. 2a, Exposé 5, 37 (French). MR 0257095
- Frans Oort and Jan R. Strooker, The category of finite bialgebras over a field, Nederl. Akad. Wetensch. Proc. Ser. A 70 = Indag. Math. 29 (1967), 163–169. MR 0210713
- Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. MR 0252485
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 310-312
- MSC: Primary 18H10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291254-6
- MathSciNet review: 0291254