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A Generalization of Lefschetz Elements

Authors :
Tadahito Harima
Yasuhide Numata
Hideaki Morita
Junzo Watanabe
Toshiaki Maeno
Akihito Wachi
Source :
The Lefschetz Properties ISBN: 9783642382055
Publication Year :
2013
Publisher :
Springer Berlin Heidelberg, 2013.

Abstract

In this chapter we would like to discuss a generalization of Lefschetz elements for an Artinian local ring to study the Jordan decomposition of a general element. The point of departure for us is Theorem 5.1 due to D. Rees. Several results from Chap. 6 (e.g., stable ideals, Borel fixed ideals, gin(I), etc) are needed at a few points in Chap. 5.

Details

ISBN :
978-3-642-38205-5
ISBNs :
9783642382055
Database :
OpenAIRE
Journal :
The Lefschetz Properties ISBN: 9783642382055
Accession number :
edsair.doi...........9665bf9c120a72551bf5a2fb2f30eebc
Full Text :
https://doi.org/10.1007/978-3-642-38206-2_5