Noncommutative Fitting invariants and improved annihilation results

DOI10.1112/JLMS/JDT009zbMath1290.16016arXiv1202.0711OpenAlexW2168431212MaRDI QIDQ2843985

Henri Johnston, Andreas Nickel

Publication date: 27 August 2013

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0711

zbMATH Keywords

Morita equivalencesFitting idealsfinitely presented modulesFitting invariantsannihilator idealsfinite-dimensional separable algebrascentral conductorsFitting orders

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Orders in separable algebras (16H10)

Related Items (15)

On non-abelian higher special elements of \(p\)-adic representations ⋮ Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ Annihilation of Selmer groups for monomial CM-extensions ⋮ On Mordell-Weil groups and congruences between derivatives of twisted Hasse-Weil \(L\)-functions ⋮ Congruences for critical values of higher derivatives of twisted Hasse–Weil $L$-functions, II ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results ⋮ Annihilating wild kernels ⋮ Notes on noncommutative fitting invariants (with an appendix by Henri Johnston and Andreas Nickel) ⋮ Fitting invariants in equivariant Iwasawa theory ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions ⋮ Conjectures of Brumer, Gross and Stark

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