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On the structure of ideals of the dual algebra of a coalgebra. (English) Zbl 0293.16012

MSC:
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
16Dxx Modules, bimodules and ideals in associative algebras
16U99 Conditions on elements
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[1] Joachim Lambek, Lectures on rings and modules, With an appendix by Ian G. Connell, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1966. · Zbl 0365.16001
[2] Robert G. Heyneman and David E. Radford, Reflexivity and coalgebras of finite type, J. Algebra 28 (1974), 215 – 246. · Zbl 0291.16008
[3] Robert G. Heyneman and Moss Eisenberg Sweedler, Affine Hopf algebras. I, J. Algebra 13 (1969), 192 – 241. · Zbl 0203.31601
[4] David E. Radford, Coreflexive coalgebras, J. Algebra 26 (1973), 512 – 535. · Zbl 0272.16012
[5] John Brendan Sullivan, The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebras, J. Algebra 19 (1971), 426 – 440. · Zbl 0239.16006
[6] Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. · Zbl 0194.32901
[7] Earl J. Taft and Robert Lee Wilson, On antipodes in pointed Hopf algebras, J. Algebra 29 (1974), 27 – 32. · Zbl 0282.16008
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