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Bounds for Multiplicities of the Graded Fiber Product Ring

Bounds for Multiplicities of the Graded Fiber Product Ring The main purpose of this paper is to show that for the class of standard graded fiber product rings, the lower and upper bounds of the Multiplicity conjecture can be improved. In certain cases, explicit formulas for the multiplicity of the graded fiber product ring are determined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Bulletin of the Brazilian Mathematical Society, New Series" Springer Journals

Bounds for Multiplicities of the Graded Fiber Product Ring

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References (20)

Publisher
Springer Journals
Copyright
Copyright © Sociedade Brasileira de Matemática 2022
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-022-00289-6
Publisher site
See Article on Publisher Site

Abstract

The main purpose of this paper is to show that for the class of standard graded fiber product rings, the lower and upper bounds of the Multiplicity conjecture can be improved. In certain cases, explicit formulas for the multiplicity of the graded fiber product ring are determined.

Journal

"Bulletin of the Brazilian Mathematical Society, New Series"Springer Journals

Published: Sep 1, 2022

Keywords: Multiplicity; Graded algebra; Fiber product ring; 13H15; 13D02; 13H10

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