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Stanley Conjecture and Regularity on Monomial Ideals

 

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  • Product Description
 

In the first chapter some basic notions and results from commutative algebra are being introduced along with a description on the progress towards the Stanley''s conjecture. In the second chapter, we have discussed the Stanley''s conjecture for a polynomial ring over a field in four variables. In the case of polynomial ring in five variables, we have presented that the monomial ideals with all associated primes of height two, are Stanley ideals. Moreover, we have introduced the Janet''s algorithm for the Stanley decomposition of a monomial ideal and discussed the Janet''s algorithm for the squarefree Stanley decomposition of squarefree monomial ideal. We conclude the chapter with the discussion of the Janet''s algorithm for the partition of a simplicial complex. In the third and last chapter, we have discussed the regularity of monomial ideals in a polynomial ring in n variables, whose associated prime ideals are totally ordered by inclusion.

Product Specifications
SKU :COC48500
AuthorImran Anwar
LanguageEnglish
BindingPaperback
Number of Pages60
Publishing Year2010-09-13T00:00:00.000
ISBN978-3838324784
Edition1 st
Book TypeAlgebra
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-04-08 00:00:00