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THE HOMOTOPY ORBIT SPECTRUM FOR PROFINITE GROUPS
"... Abstract. Let G be a profinite group. We define an S[[G]]module to be a Gspectrum X that satisfies certain conditions, and, given an S[[G]]module X, we define the homotopy orbit spectrum XhG. When G is countably based and X satisfies a certain finiteness condition, we construct a homotopy orbit s ..."
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spectral sequence whose E2term is the continuous homology of G with coefficients in the graded profinite bZ[[G]]module pi∗(X). Let Gn be the extended Morava stabilizer group and let En be the LubinTate spectrum. As an application of our theory, we show that the function spectrum F (En, LK(n)(S 0
Profinite groups, profinite completions and a conjecture of Moore
"... Let R be any ring (with 1), Γ a group and RΓ the corresponding group ring. Let H be a subgroup of Γ of finite index. Let M be an RΓ−module, whose restriction to RH is projective. Moore’s conjecture [5]: Assume for every nontrivial element x in Γ, at least one of the following two conditions holds: M ..."
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Cited by 2 (2 self)
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: M1) 〈x 〉 ∩ H ̸ = {e} (in particular this holds if Γ is torsion free) M2) ord(x) is finite and invertible in R. Then M is projective as an RΓmodule. More generally, the conjecture has been formulated for crossed products R ∗ Γ and even for strongly graded rings R(Γ). We prove the conjecture for new
COTENSOR PRODUCTS OF MODULES
, 2002
"... Abstract. Let C beacoalgebraoverafieldkand A its dual algebra. The category of Ccomodules is equivalent to a category of Amodules. We use this to interpret the cotensor product M□N of two comodules in terms of the appropriate Hochschild cohomology of the Abimodule M ⊗ N, whenAis finitedimensiona ..."
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Cited by 6 (0 self)
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dimensional, profinite, graded or differentialgraded. The main applications are to Galois cohomology, comodules over the Steenrod algebra, and the homology of induced fibrations. 1.
Jacobian Criteria for Complete Intersections. The Graded Case
, 1994
"... Let P be a positively graded polynomial ring over a field k of characteristic zero, let I be a homogeneous ideal of P , and set R = P=I. The paper investigates the homological properties of some Rmodules canonically associated with R, among them the module\Omega Rjk of Kähler differentials an ..."
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Let P be a positively graded polynomial ring over a field k of characteristic zero, let I be a homogeneous ideal of P , and set R = P=I. The paper investigates the homological properties of some Rmodules canonically associated with R, among them the module\Omega Rjk of Kähler differentials
LINEAR EQUATIONS OVER NONCOMMUTATIVE GRADED RINGS
, 2005
"... Abstract. We call a graded connected algebra R effectively coherent, if for every linear equation over R with homogeneous coefficients of degrees at most d, the degrees of generators of its module of solutions are bounded by some function D(d). For commutative polynomial rings, this property has bee ..."
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Abstract. We call a graded connected algebra R effectively coherent, if for every linear equation over R with homogeneous coefficients of degrees at most d, the degrees of generators of its module of solutions are bounded by some function D(d). For commutative polynomial rings, this property has
Effect of Graded Electrical Stimulation on Blood Flow to Healthy Muscle
"... The purpose of this study was to determine whether 2,500Hz sinewave electrical stimulation modulated at 50 bursts per second producing graded muscular responses affects blood flow. Healthy volunteer subjects were assigned randomly to an Experimental group (n = 14) that received bursts of electrica ..."
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The purpose of this study was to determine whether 2,500Hz sinewave electrical stimulation modulated at 50 bursts per second producing graded muscular responses affects blood flow. Healthy volunteer subjects were assigned randomly to an Experimental group (n = 14) that received bursts
Apoptotic Signaling Activated by Modulation of the F 0 F 1 ATPase: Implications for Selective Killing of Autoimmune Lymphocytes
"... ABSTRACT 7Chloro5(4hydroxyphenyl)1methyl3(napthalen2ylmetyl)4,5,dihydro1Hbenzo [b][1,4]diazepin2(3H)one (Bz423) is a proapoptotic 1,4benzodiazepine that potently suppresses disease in the murine model of lupus by selectively killing pathogenic lymphocytes. In MRL/MpJFas lpr (MRL ..."
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lpr) mice, Bz423 overcomes deficient expression of the Fas death receptor and hyperactivation of antiapoptotic phosphatidylinositol 3kinase (PI3K)Akt signaling to specifically kill pathogenic CD4 ϩ T cells. Bz423 binds to the oligomycinsensitivityconferring protein component of the mitochondrial F 0 F
Apoptotic Signaling Activated by Modulation of the F0F1ATPase: Implications for Selective Killing of Autoimmune Lymphocytes□S
, 2009
"... 7Chloro5(4hydroxyphenyl)1methyl3(napthalen2ylmetyl)4,5,dihydro1Hbenzo[b][1,4]diazepin2(3H)one (Bz423) is a proapoptotic 1,4benzodiazepine that potently suppresses disease in the murine model of lupus by selectively killing pathogenic lymphocytes. In MRL/MpJFaslpr (MRLlpr) mice, ..."
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, Bz423 overcomes deficient expression of the Fas death receptor and hyperactivation of antiapoptotic phosphatidylinositol 3kinase (PI3K)Akt signaling to specifically kill pathogenic CD4 T cells. Bz423 binds to the oligomycinsensitivityconferring protein component of the mitochondrial F0F1
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