Epsilon multiplicity for graded algebras
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if it can be realized as a limit. The purpose of our thesis is to show that the relative epsilon multiplicity of reduced standard graded algebras over an excellent local ring exists as a limit. We also obtain some important special cases of Cutkosky's results concerning epsilon multiplicity, as corollaries of our main theorem.
1988 ◽
Vol 46
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pp. 546-547
Keyword(s):
2020 ◽
Keyword(s):
2015 ◽