Autor:	Schoutens, Hans
Rok vydání:	2013
Předmět:	Mathematics - Commutative Algebra 13E05
Druh dokumentu:	Working Paper
Popis:	We generalize the notion of length to an ordinal-valued invariant defined on the class of finitely generated modules over a Noetherian ring. A key property of this invariant is its semi-additivity on short exact sequences. We show how to calculate this combinatorial invariant by means of the fundamental cycle of the module, thus linking the lattice of submodules to homological properties of the module. Using this, we equip each module with its canonical topology. Comment: This is an incorporation of the previous ArXiv preprints arXiv:1301.6457 and arXiv:1210.3855
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1309.6694 Zobrazit plný text záznamu View this record from Arxiv