Divisor Theory in Module Categories (eBook, PDF)

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North-Holland Mathematics Studies, 14: Divisor Theory in Module Categories focuses on the principles, operations, and approaches involved in divisor theory in module categories, including rings, divisors, modules, and complexes.The book first takes a look at local algebra and homology of local rings. Discussions focus on Gorenstein rings, Euler characteristics of modules, Macaulay rings, Koszul complexes, Noetherian and coherent rings, flatness, and Fitting's invariants. The text then explains divisorial ideals, including divisors, modules of dimension one, and higher divisorial ideals. The ma...

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