On a Conjecture of R.P. Stanley; Part I—Monomial Ideals

By J. Apel. 2003

49 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f7adbbd082f821cb03cd647e507745f9f2013992

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jürgen Herzog
2. Ali Soleyman Jahan
3. Dorin Vicentiu Popescu
4. Asia Rauf
5. Takayuki Hibi
6. Huy Tài Hà
7. Adam Van Tuyl
8. Xinxian Zheng

In Computational Theory and Mathematics

1. Jürgen Herzog
2. Ali Soleyman Jahan
3. Dorin Vicentiu Popescu
4. Asia Rauf
5. Huy Tài Hà
6. Takayuki Hibi
7. Adam Van Tuyl
8. Susan Morey

In Geometry and Topology

1. Jürgen Herzog
2. Ali Soleyman Jahan
3. Dorin Vicentiu Popescu
4. Asia Rauf
5. Huy Tài Hà
6. Steven Dale Cutkosky
7. Susan Morey
8. Gregory G. Smith

Citations in the corpus

• Prime filtrations of monomial ideals and polarizations (2006, background): “Stanley decomposition have been studied in various combinatorial and algebraic contexts, see [1,7], and [8].”
• Finite filtrations of modules and shellable multicomplexes (2005, background): “Stanley decompositions have been studied in various combinatorial and algebraic contexts, see [1], [8], and [9].”
• On a Conjecture of R.P. Stanley; Part II—Quotients Modulo Monomial Ideals (2003, methodology): “This is the second of two articles studying some aspects of a conjecture formulated by Richard P. Stanley ([14], 5.1), see also ([ 1 ], Conjecture 1). In the context of the special case studied in this paper Stanley’s Conjecture reads as follows.”