4 edition of **Pseudofunctors on modules with zero dimensional support** found in the catalog.

- 87 Want to read
- 39 Currently reading

Published
**1995**
by American Mathematical Society in Providence, R.I
.

Written in English

- Injective modules (Algebra),
- Sheaf theory.,
- Power series rings.

**Edition Notes**

Statement | I-Chiau Huang. |

Series | Memoirs of the American Mathematical Society,, no. 548 |

Classifications | |
---|---|

LC Classifications | QA3 .A57 no. 548, QA247 .A57 no. 548 |

The Physical Object | |

Pagination | xi, 53 p. ; |

Number of Pages | 53 |

ID Numbers | |

Open Library | OL1117074M |

ISBN 10 | 0821826085 |

LC Control Number | 94043208 |

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Abstract: This book examines a topic from the theory of residues and duality. For broad classes of local algebras \(f:R\rightarrow S\) and an \(R\)-module \(M\) of zero dimensional support, Huang provides various canonical constructions of an \(S\)-module of zero dimensional support.

Pseudofunctors with values on modules with zero dimensional support are constructed over the formally smooth category and residually finite category.

Combining those pseudofunctors, a pseudofunctor over the category whose objects are Noetherian local rings and whose morphisms are local with finitely generated residue field extensions is constructed.

Introduction 2. Generalized fractions on modules with support 3. Modules with zero dimensional support 4. Pseudofunctors 5. Residues for power series rings 6. A pseudofunctor on the residually finitely generated category 7.

Comparison of pseudofunctors. Series Title: Memoirs of the American Mathematical Society, no. Responsibility: I. Pseudofunctors on modules with zero dimensional support I-Chiau Huang （Memoirs of the American Mathematical Society, no. ） American Mathematical Society, Introduction Generalized fractions on modules with support Modules with zero dimensional support Pseudofunctors Residues for power series rings A pseudofunctor on the residually finitely generated.

with the intention of publishing a small book, now nearing completion, containing three separate pa-pers. This volume constitutes a reworking of the main parts of Chapters VI and VII in Hartshorne’s \Residues and Duality" [7], in greater generality, and by a local, rather than global, approach.

I-C. Huang Pseudofunctors on modules with zero dimensional support Memoirs Amer. Math. Soc., (). To view the rest of this content please follow the download PDF link above. Effective in high dimensional spaces. Still effective in cases where number of dimensions is greater than the number of samples.

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The support of f is the smallest subset of X with the property that f is zero on the subset's complement. If f(x) = 0 for all but a finite number of points x in X, then f is said to have finite support. If the set X has an additional structure (for example, a topology), then the support of f is defined in an analogous way as the smallest subset of X of an appropriate type such that f vanishes.

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Here we present modules of differentials for rings of formal power series and for fields of generalized power series.

Inversion of one-dimensional combinatorial relations. In Some questions on the theory of groups and rings Pseudofunctors on modules with zero dimensional support. Mem. Amer. Math.

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The trivial ring, zero module and zero vector space are zero objects of the corresponding categories, namely Rng, R-Mod and Vect R. The zero object, by definition, must be a terminal object, which means that a morphism A → {0} must exist and be unique for an arbitrary object morphism maps any element of A to 0.

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