Hazrat, R. Graded rings and graded Grothendieck groups, vol. 435 of London Mathematical Society Lecture Note Series. Cambridge University Press, 2016.R. Hazrat, Graded rings and graded Grothendieck groups, preprint. 2, 4, 7, 15, 16R. Hazrat, Graded rings and graded Grothendieck groups, ...
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The cohomology of a variation of the Kirby–Mehran complex for bigraded Rees algebras is studied which is used to characterize the Cohen–Macaulay property of bigraded Rees algebra of I and J for two dimensional Cohen–Macaulay local rings. 展开 ...
The Grothendieck–Serre formula for the difference between the Hilbert function and Hilbert polynomial of a graded algebra is generalized for bigraded standard algebras. This is used to get a similar formula for the difference between the Bhattacharya function and Bhattacharya polynomial of two m-prima...
Forty-six years after the birth of supersymmetry in 1973 from works of Julius Wess and Bruno Zumino, the standard quantum-field-theorists and particle physicists' language of `superspaces', `supersymmetry', and `supersymmetric action functionals in superspace formulation' as given in Chapters IV, ...
The object of the first two sections is to construct from a λ-ring K a graded ring Gr K, with a Chern class homomorphism satisfying the properties of Chapter I, §3.
R. Hazrat, The graded Grothendieck group and classification of Leavitt path algebras, Math. Annalen, to appear. arXiv:1102.4088Hazrat, R.: The graded Grothendieck group and the classification of Leavitt path algebras. Math. Ann. 355(1), 273-325 (2013)...
Finite groupsGrothendieck filtrationLambda-ringsLet G be a finite group. The ring RK(G) of virtual characters of G over the field K is a λ-ring; as such, it is equipped with the so-called Γ-filtration, first defined by Grothendieck. We explore the properties of the associated graded ...
If the category of finitely generated maximal Cohen-Macaulay modules over R and S are stably equivalent and the equivalence commutes with the first syzygy functors, then we show that the Grothendieck groups for R and S are isomorphic. In particular, we apply this result to hypersurface rings....
Oleg N. Smirnov, Graded associative algebras and Grothendieck standard conjectures, Invent. Math., 128, (1997), 201-206.Oleg N. Smirnov. Graded associative algebras and Grothendieck standard conjectures. Invent. Math., 128(1):201-206, 1997....