Homology of balanced complexes via the Fourier transform
نویسنده
چکیده
Let G0, . . . ,Gk be finite abelian groups, and let G0 ∗ · · · ∗ Gk be the join of the 0-dimensional complexes Gi . We give a characterization of the integral k-coboundaries of subcomplexes of G0 ∗ · · · ∗Gk in terms of the Fourier transform on the group G0 × · · · × Gk . This provides a short proof of an extension of a recent result of Musiker and Reiner on a topological interpretation of the cyclotomic polynomial.
منابع مشابه
Preparation of CuO nanoparticles by thermal decomposition of double-helical dinuclear copper(II) Schiff-base complexes
In this paper, two double helical dinuclear copper(II) complexes of bis-N,O-bidentate Schiff base ligands bis(3-methoxy-N-salicylidene-4,4'-diaminodiphenyl)sulfone (L1) and bis(5-bromo-N-salicylidene-4,4'-diaminodiphenyl)sulfone (L2) were prepared and characterized by elemental analyses (CHN), as well as thermal analysis. Elemental analyses (CHN) suggested that the reaction between ligands and ...
متن کاملGeneralized Local Homology Modules of Complexes
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...
متن کاملFourier transform-ion cyclotron resonance mass spectrometric resolution, identification, and screening of non-covalent complexes of Hck Src homology 2 domain receptor and ligands from a 324-member peptide combinatorial library.
The preferred ligands for the Hck Src homology 2 domain among a combinatorial library containing 324 different peptides were determined in a single experiment involving Fourier transform ion cyclotron resonance (FT-ICR) mass spectrometry (MS), electrospray ionization (ESI), stored-waveform inverse Fourier transformation (SWIFT), and infrared multiphoton laser disassociation (IRMPD). These were ...
متن کاملSynthesis, Characterization and Investigation of Magnetic Properties of Co3O4/CoFe2O4 Nanocomposite Prepared by Calcination of [CO(SALEN)(PPH3)(H2O)]4[Fe(CN)6] and [Co(Salophen)(PPH3)(H2O)]4[Fe(CN)6] Binary Complex Salts
In this research the synthesis of [Co(Salen)(PPh3)(H2O)]4[Fe(CN)6] and [Co(Salophen)(PPh3)(H2O)]4[Fe(CN)6] schiff base complexes was reported. Co3O4/CoFe2O4 magnetic nanoparticles were prepared by calcination of these complexes at 500, 550 and 600°C. Precursor complexes were identified by FT-IR and UV-Vis spectroscopy and their thermal behavior was studied via TG/DTA. Nanomagnetic samples were ...
متن کاملHydrothermal synthesis of copper (II) and Nickel (II) nano complexes with unsymmetric tetradentate Schiff base ligand. New precursors for preparation of copper (II) and nickel (II) oxides nano-particles
Two new nano particles of copper (II) and nickel (II) complexes, [Cu(cd5Clsalen)] (1) and [Ni(cd5Clsalen)] (2) with unsymmetrical tetradentate Schiff base ligand cd5Clsalen={methyl-2-[N-[2-(2-hydroxy-5-choloro-2phenyl) methylidynetrilo]ethyl}amino-1-cyclopentenedithiocarboxylate, were synthesized by hydrothermal method. These compounds were characterized by a variety of physic-chemical techniqu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012