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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Hopf corings are defined in this work as coring objects in the category of algebras over a commutative ring R. Using the Dieudonne equivalences from [7] and [19], one can associate coring structures built from the Hopf algebra F_p[x0, x1,...], p a prime, with Hopf ring structures with same underlying connected Hopf algebra. We have that Fp[x0, x1, ...]coring structures classify thus Hopf ring structures for a given Hopf alge-bra. These methods are applied to define new ring products in the Hopf algebras underlying known Hopf rings that come from connective Morava k-theory.
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참고문헌 (22)
참고문헌 신청
A. K. Bouseld / 1996 / On p-adic λ-rings and the K-theory of H-spaces / Math. Z 223 (3) : 483 ~ 519
A. K. Bouseld / 1996 / On λ-rings and the K-theory of innite loop spaces / K-Theory 10 (1) : 1 ~ 30
C. Schoeller / 1970 / Etude de la categorie des algebres de Hopf commutatives connexes sur un corps / Manuscripta Math 3 : 133 ~ 155
D. C. Ravenel / 1975 / Dieudon'e modules for abelian Hopf algebras, Conference on homotopy theory / Notas Mat. Simpos : 177 ~ 183
D. C. Ravenel / 1977 / The Hopf ring for complex cobordism / J. Pure Appl. Algebra 9 (3) : 241 ~ 280
A. K. Bouseld / 1996 / On λ-rings and the K-theory of innite loop spaces / K-Theory 10 (1) : 1 ~ 30
C. Schoeller / 1970 / Etude de la categorie des algebres de Hopf commutatives connexes sur un corps / Manuscripta Math 3 : 133 ~ 155
D. C. Ravenel / 1975 / Dieudon'e modules for abelian Hopf algebras, Conference on homotopy theory / Notas Mat. Simpos : 177 ~ 183
D. C. Ravenel / 1977 / The Hopf ring for complex cobordism / J. Pure Appl. Algebra 9 (3) : 241 ~ 280
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