Article
Cohen Factorizations: Weak Functoriality and Applications
Journal of Pure and Applied Algebra
Document Type
Article
Publication Date
3-1-2015
DOI
10.1016/j.jpaa.2014.05.017
Disciplines
- Education and
- Mathematics
Abstract
We investigate Cohen factorizations of local ring homomorphisms from three perspectives. First, we prove a “weak functoriality” result for Cohen factorizations: certain morphisms of local ring homomorphisms induce morphisms of Cohen factorizations. Second, we use Cohen factorizations to study the properties of local ring homomorphisms (Gorenstein, Cohen–Macaulay, etc.) in certain commutative diagrams. Third, we use Cohen factorizations to investigate the structure of quasi-deformations of local rings, with an eye on the question of the behavior of CI-dimension in short exact sequences.
Citation Information
Saeed Nasseh and Sean Sather-Wagstaff. "Cohen Factorizations: Weak Functoriality and Applications" Journal of Pure and Applied Algebra 219.3 (2015): 622-645.source:http://arxiv.org/abs/1205.2119
doi:10.1016/j.jpaa.2014.05.017
Available at: http://works.bepress.com/saeed_nasseh/5
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