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Solving via Modular Methods Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Four Generated, Squarefree, Monomial Ideals

Authors : Adrian Popescu, Dorin Popescu

Published in: Bridging Algebra, Geometry, and Topology

Publisher: Springer International Publishing

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Abstract

Let I⊋ J be two squarefree monomial ideals of a polynomial algebra over a field generated in degree ≥ d, resp. ≥ d + 1. Suppose that I is either generated by three monomials of degrees d and a set of monomials of degrees ≥ d + 1, or by four special monomials of degrees d. If the Stanley depth of I∕J is ≤ d + 1 then the usual depth of I∕J is ≤ d + 1 too.

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previous chapter Fibonacci Numbers and Self-Dual Lattice Structures for Plane Branches
next chapter The Connected Components of the Space of Alexandrov Surfaces
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Metadata
Title
Four Generated, Squarefree, Monomial Ideals
Authors
Adrian Popescu
Dorin Popescu
Copyright Year
2014
Book
Bridging Algebra, Geometry, and Topology

Print ISBN: 978-3-319-09185-3

Electronic ISBN: 978-3-319-09186-0

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-09186-0_14

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