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Homotopy theory of comodules over a Hopf algebroid
, 2003
"... Given a good homology theory E and a topological space X, E∗X is not just an E∗module but also a comodule over the Hopf algebroid (E∗, E∗E). We establish a framework for studying the homological algebra of comodules over a wellbehaved Hopf algebroid (A, Γ). That is, we construct ..."
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Cited by 27 (3 self)
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Given a good homology theory E and a topological space X, E∗X is not just an E∗module but also a comodule over the Hopf algebroid (E∗, E∗E). We establish a framework for studying the homological algebra of comodules over a wellbehaved Hopf algebroid (A, Γ). That is, we construct
Comodules and Landweber exact homology theories
 Adv. Math
"... Abstract. We show that, if E is a commutative MUalgebra spectrum such ..."
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Cited by 23 (1 self)
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Abstract. We show that, if E is a commutative MUalgebra spectrum such
Chromatic phenomena in the algebra of BP∗BP comodules
, 2002
"... Abstract. We describe the author’s research with Neil Strickland on the global algebra and global homological algebra of the category of BP∗BP ..."
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Cited by 2 (1 self)
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Abstract. We describe the author’s research with Neil Strickland on the global algebra and global homological algebra of the category of BP∗BP
LOCAL COHOMOLOGY OF BP∗BPCOMODULES
"... Abstract. Given a spectrum X, we construct a spectral sequence of BP∗BPcomodules that converges to BP∗(LnX), where LnX is the Bousfield localization of X with respect to the JohnsonWilson theory E(n)∗. The E2term of this spectral sequence consists of the derived functors of an algebraic version o ..."
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Abstract. Given a spectrum X, we construct a spectral sequence of BP∗BPcomodules that converges to BP∗(LnX), where LnX is the Bousfield localization of X with respect to the JohnsonWilson theory E(n)∗. The E2term of this spectral sequence consists of the derived functors of an algebraic version of Ln. We show how to calculate these derived functors, which are closely related to local cohomology of BP∗modules with respect to the ideal In+1.