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Comodules and Landweber exact homology theories
- Adv. Math
"... Abstract. We show that, if E is a commutative MU-algebra spectrum such ..."
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Cited by 12 (1 self)
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Abstract. We show that, if E is a commutative MU-algebra spectrum such
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 well-behaved Hopf algebroid (A, Γ). That is, we construct ..."
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Cited by 10 (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 well-behaved Hopf algebroid (A, Γ). That is, we construct
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∗BP-COMODULES
"... Abstract. Given a spectrum X, we construct a spectral sequence of BP∗BP-comodules that converges to BP∗(LnX), where LnX is the Bousfield localization of X with respect to the Johnson-Wilson theory E(n)∗. The E2-term of this spectral sequence consists of the derived functors of an algebraic version o ..."
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Cited by 1 (1 self)
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Abstract. Given a spectrum X, we construct a spectral sequence of BP∗BP-comodules that converges to BP∗(LnX), where LnX is the Bousfield localization of X with respect to the Johnson-Wilson theory E(n)∗. The E2-term 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.
