
We investigate criteria for algebra extensions that are of Galois type with respect to the coaction of a Hopf algebra or, more generally, a one-sided quotient of a Hopf algebra, or with respect to an entwining. We study the module- and comodule-theoretical properties of such extensions.
23 pages
comodule algebras, Algebra and Number Theory, homogeneous spaces, Mathematics - Rings and Algebras, equivariant projectivity, entwining structures, Hopf algebras (associative rings and algebras), Hopf algebras, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, Galois extensions, FOS: Mathematics, Quantum Algebra (math.QA), 16W30, faithfully flat extensions
comodule algebras, Algebra and Number Theory, homogeneous spaces, Mathematics - Rings and Algebras, equivariant projectivity, entwining structures, Hopf algebras (associative rings and algebras), Hopf algebras, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, Galois extensions, FOS: Mathematics, Quantum Algebra (math.QA), 16W30, faithfully flat extensions
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