2015/06/23 by Sean Sather-Wagstaff, Sather-Wagstaff, Sean, Richard Wicklein +1 · 4 citations
Mathematics · #13B35 #13C12 #13D09 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13B35 #msc:13C12 #msc:13D09 #msc:13D45
paper · pdf · doi:10.48550/arxiv.1506.07052
24 pages. now part 5 of a series with arXiv:1401.6925,arXiv:1602.03224, arXiv:1602.03225, arXiv:1602.03226, and arXiv:1602.03227. v.3 is a major revision with shortened title, some material from v.2 has been moved to other papers in this series. comments welcome. v.4 updates references and URL for Sather-Wagstaff
arxiv created 2016/02/23 · arxiv updated 2016/02/25
We introduce and study a class of objects that encompasses Christensen and Foxby's semidualizing modules and complexes and Kubik's quasi-dualizing modules: the class of \mathfraka-adic semidualizing modules and complexes. We give examples and equivalent characterizations of these objects, including a characterization in terms of the more familiar semidualizing property. As an application, we give a proof of the existence of dualizing complexes over complete local rings that does not use the Cohen Structure Theorem.