The Dual and the Double of a Hopf Algebroid are Hopf Algebroids
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DOI: 10.1007/s10485-015-9418-7
Abstract: Let H be a ×-bialgebra in the sense of Takeuchi. We show that if H is ×-Hopf, and if H fulfills the finiteness condition necessary to define its skew dual H∨, then the coopposite of… read more here.
Keywords: algebroid hopf; hopf; hopf algebroid; double hopf ... See more keywords
Correspondence theorems for Hopf algebroids with applications to affine groupoids
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DOI: 10.4153/s0008414x23000238
Abstract: We provide a correspondence between one-sided coideal subrings and one-sided ideal two-sided coideals in an arbitrary bialgebroid. We prove that, under some expected additional conditions, this correspondence becomes bijective for Hopf algebroids. As an application,… read more here.
Keywords: correspondence theorems; hopf algebroids; correspondence; applications affine ... See more keywords