2021/01/01 by Bogdan Gheorghe, Guozhen Wang, Zhouli Xu · 4 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory
paper · pdf · doi:10.4310/acta.2021.v226.n2.a2
-Mod: the abelian category of graded left modules over MU mot * , * / . (25) MU mot * , * / -Mod 0 : the abelian category of graded left modules over MU mot * , * / that are concentrated in Chow-Novikov degree zero. (26) MU mot * , * MU mot / -Comod: the abelian category of graded left comodules over the Hopf algebroid MU mot * , * MU mot / . (27) MU mot * , * MU mot / -Comod 0 : the abelian category of graded left comodules over the Hopf algebroid MU mot * , * MU mot / that are concentrated in Chow-Novikov degree zero. (28) D b (A): the bounded derived category of an abelian category A as a stable -category. (29) Stable(BP * BP): the underlying stable -category of Hovey's unbounded derived category of BP * BP-comodules. * , * MU mot / is a Hopf algebroid. Definition 4.3. Denote by MU mot * , * MU mot / -Comod the abelian category of graded left comodules over the Hopf algebroid MU mot * , * MU mot / , and by MU mot * , * MU mot / -Comod 0 its full subcategory spanned by all graded