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Gradient ideals
Liu, Yu-Han

2010, Doctor of Philosophy, Ohio State University, Mathematics.
The notion of gradient ideals in a power series algebra over a noetherian local ring is defined with basic properties studied. A natural generalization, “multi-gradient ideals”, and the algebra of potential functions associated to an arbitrary ideal are introduced. Classification of multi-gradient ideals is given in the cases of principal ideals and monomial ideals by studying their algebras of potential functions. Abstract examples of non-multi-gradient ideals and geometric examples of multi-gradient ideals are constructed.
Herbert Clemens (Advisor)
James Cogdell (Committee Member)
Hsian-Hua Tseng (Committee Member)
91 p.

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Liu, Y. (2010). Gradient ideals. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Liu, Yu-Han. "Gradient ideals." Electronic Thesis or Dissertation. Ohio State University, 2010. OhioLINK Electronic Theses and Dissertations Center. 26 Sep 2017.

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Liu, Yu-Han "Gradient ideals." Electronic Thesis or Dissertation. Ohio State University, 2010. https://etd.ohiolink.edu/

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