Monogenic Hopf algebras and local Galois module theory. J. Algebra 264 (2003), no. 2, 408-419. MR1981413 (2004d:16068), Zbl 1028.16018, doi: 10.1016/S0021- 8693(03)00176-5.A. Koch, Monogenic Hopf algebras and local Galois module theory, J. Algebra 264 (2003) 408-419....
forms of hopf algebras and galois theory Way back in 1987, in Taming Wild Extensions with Hopf Algebras, Childs suggested that the Hopf algebras could broaden the domain of Galois module theory, which is the branch of algebraic number theory concerned with rings of integers of ... B Pareigis...
Jansen, Partial (co)-actions of Hopf algebras and partial Hopf-Galois theory, Communications in Algebra, 36:8, (2008), 2923-2946.Caenepeel, S., Janssen, K. (2008). Partial (co)actions of Hopf algebras and partial Hopf-Galois theory. Comm. Algebra 36(8):2923-2946....
Hopf-Galois theory and tensor products of Hopf algebras - Kreimer - 1995 () Citation Context ...ian) groups. The same result holds true unchanged if we consider general commutative and cocommutative Hopf algebras. However, the same is not true for the complete Gal(—) groups. A result of...
The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory ...
L.N. Childs Taming wild extensions with Hopf algebras Trans. Amer. Math. Soc., 304 (1987), pp. 111-140 View in ScopusGoogle Scholar [5] L.N. Childs Taming Wild Extensions: Hopf Algebra and Local Galois Module Theory Math. Surveys Monogr., vol. 80, Amer. Math. Soc, Providence, RI...
Soc. 93, 138-174 (2006).Cyclic homology of Hopf Galois extensions and Hopf algebras. Preprint at arXiv:math.KT/0307099 - Jara, S¸tefan - 2003P. Jara and D. S¸ tefan, Cyclic homology of Hopf Galois extensions and Hopf algebras, arXiv:math/0307099v1 [math.KT], 2003....
Iwasawa Theory, Projective Modules, and Modular Representations Ralph Greenberg - 《Memoirs of the American Mathematical Society》 - 2011 - 被引量: 13 Monogenic Hopf algebras and local Galois module theory Alan Koch - 《Journal of Algebra》 - 2003 - ...
We first introduce the ideas of Hopf-Galois theory as an attempt to taming wild extensions with Hopf algebras, in con- nection with the problems of Galois module structure in arithmetic. Then, as in the works of M. Taylor and others, we explain how one obtains, from an elliptic curve ha...
We develop a theory of module categories over monoidal categories (this is a straightforward categorization of modules over rings). As applications we show... V Ostrik - 《Transformation Groups》 被引量: 627发表: 2003年 Hopf Algebras and Galois Theory ABSTRACT Without Abstract SU Chase - Springe...