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Waterhouse, William C.

The module structure of certain Hopf algebra extensions. (English) Zbl 0478.16004

Commun. Algebra 10, 115-120 (1982).
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MSC:

16W30 Hopf algebras (associative rings and algebras) (MSC2000)
14L15 Group schemes
16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)

Keywords:

diagonalizable group scheme; principal homogeneous space; affine group scheme; Hopf subalgebra; free module

Citations:

Zbl 0438.16003
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Full Text: DOI

References:

[1] Chase S.U., Hopf Algebras and Galois Theory (1969) · doi:10.1007/BFb0101435
[2] Fossum R., J. Pure Appl. Algebra 3 pp 269– (1973) · Zbl 0277.14005 · doi:10.1016/0022-4049(73)90014-5
[3] Popov V.L., Math. USSR Izvestija 8 pp 301– (1974) · Zbl 0301.14018 · doi:10.1070/IM1974v008n02ABEH002107
[4] Radford D.E., Proc. Amer. Math. Soc 79 pp 164– (1980)
[5] Raynaud M., Falsceaux amples sur les schemas en groupes et les espaces homogenes (1970) · Zbl 0195.22701 · doi:10.1007/BFb0059504
[6] Schneider H.J., Zerlegbare Untergruppen affiner Gruppen · Zbl 0462.20035 · doi:10.1007/BF01450668
[7] Sweedler M.E., Amer. J, Math 92 pp 259– (1970) · Zbl 0198.06002 · doi:10.2307/2373506
[8] Waterhouse W.C., Introduction to Affine Group Schemes (1979) · Zbl 0442.14017 · doi:10.1007/978-1-4612-6217-6
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