Lower complete intersection dimension over local homomorphisms

Li Liang () and Gang Yang ()
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Li Liang: Lanzhou Jiaotong University
Gang Yang: Lanzhou Jiaotong University

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 4, 673-686

Abstract: Abstract We introduce and study a theory of lower complete intersection dimension over local homomorphisms which encompasses the theory of lower complete intersection dimension for finite modules over local rings introduced by Gerko. In particular, we show that the lower complete intersection dimension over local homomorphisms reflects the complete intersection property of base rings as expected. As an application, we prove that the converse of a theorem of Sather-Wagstaff is also true.

Keywords: Complete intersection dimension; lower complete intersection dimension; Cohen factorization (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0207-2

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