Kanta pembesar
Cari Loader

Marco Grandis 
Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups 
The Interplay of Homology with Distributive Lattices and Orthodox Semigroups

Sokongan
Adobe DRM
perlindungan daripada Marco Grandis: Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups (PDF)
In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown to play an important role in the study of homological systems, from simple chain complexes to all the structures that give rise to spectral sequences. A parallel role is played by semigroups of endorelations.These links rest on the fact that many such systems, but not all of them, live in distributive sublattices of the modular lattices of subobjects of the system.The property of distributivity allows one to work with induced morphisms in an automatically consistent way, as we prove in a âCoherence Theorem for homological algebraâ. (On the contrary, a ânon-distributiveâ homological structure like the bifiltered chain complex can easily lead to inconsistency, if one explores the interaction of its two spectral sequences farther than it is normally done.)The same property of distributivity also permits representations of homological structures by means of sets and lattices of subsets, yielding a precise foundation for the heuristic tool of Zeeman diagrams as universal models of spectral sequences.We thus establish an effective method of working with spectral sequences, called âcrossword chasingâ, that can often replace the usual complicated algebraic tools and be of much help to readers that want to apply spectral sequences in any field.
€214.99
cara bayaran
Bahasa Inggeris ● Format PDF ● Halaman-halaman 384 ● ISBN 9789814407076 ● Saiz fail 2.5 MB ● Penerbit World Scientific Publishing Company ● Bandar raya Singapore ● Negara SG ● Diterbitkan 2012 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2495024 ● Salin perlindungan Adobe DRM
Memerlukan pembaca ebook yang mampu DRM

Lebih banyak ebook daripada pengarang yang sama / Penyunting

1,166 Ebooks dalam kategori ini